1. Equations & Inequalities

Linear Inequalities

1. Equations & Inequalities

Linear Inequalities

Guided videos.

Learn with Callie

Linear Inequalities with Fractions & Variables on Both Sides

Additional 4 creators.

Learn with other creators

Union and intersection of intervals

Finding the union and intersections of intervals examples

Definition and Technique For Solving Linear Inequalities

Solving Inequalities with No Solution or Infinite Solutions

Solving inequalities with no solution or all real numbers as solutions

Pine View Middle School Math

889

views

3:49

Solving A Compound Linear Inequality

Absolute Value Inequalities - How to Solve

Mario's Math Tutoring

612

views

rank

Showing 9 of 9 videos

Practice this topic

Multiple Choice

Express the given set in interval notation and graph.

{ $x$ | 14 ≤ $x$ < 26}

281

views

Multiple Choice

Express the given interval in set builder notation and graph. (−∞, 0]

343

views

Multiple Choice

Express the given set in interval notation and graph.

${$ $x$ $∣$ $x is less than or equal to 7$ $}$

254

views

Multiple Choice

Solve the inequality. Express the solution set in interval notation and graph. $2x+12>19$

Solve the inequality. Express the solution set in interval notation and graph.

$\frac13\left(x+1\right)\ge\frac15\left(3+2x\right)$

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | = 7

260

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x<-6

212

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (1, 6]

390

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | = -7

246

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x≤6

246

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. -2

238

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 5, 2)

766

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | > -7

235

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x^2≥0

277

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | > 7

197

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II . x≥-6

346

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | < 7

232

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, 1]

233

views

Textbook Question

Match the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. 6≤x

201

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≥ 7

589

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≤ 7

237

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (2, ∞)

256

views

Textbook Question

Match each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≠ 7

191

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, ∞)

297

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 3)

215

views

Textbook Question

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)

340

views

Textbook Question

In Exercises 15–26, use graphs to find each set. (- 3, 0) ∩ [- 1, 2]

232

views

Textbook Question

In Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]

242

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 3(x+5)+1≥5+3x

340

views

Textbook Question

In Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)

218

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 8x-3x+2<2(x+7)

553

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 2-4x+5(x-1)<-6(x-2)

587

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (4x+7)/-3≤2x+5

331

views

Textbook Question

In Exercises 15–26, use graphs to find each set. (- ∞, 5) ⋃ [1, 8)

230

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (2x-5)/-8≤1-x

251

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (1/3)x+(2/5)x-(1/2)(x+3)≤1/10

208

views

Textbook Question

In Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)

515

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3

849

views

Textbook Question

In Exercises 15–26, use graphs to find each set. [3, ∞) ⋃ (6, ∞)

246

views

Textbook Question

In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5x + 11 < 26

242

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2

257

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Example 4. -5<5+2x<11

Solve each inequality. Give the solution set in interval notation. . | 3x - 4 | ≥ 2

313

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 1/2 - x | ≤ 2

Solve each inequality. Give the solution set in interval notation. See Example 4. 10≤2x+4≤16

319

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 3/5 + x | < 1

Solve each inequality. Give the solution set in interval notation. See Example 4. 2>-6x+3>-3

357

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. 5| x + 1 | > 10

Solve each inequality. Give the solution set in interval notation. See Example 4. -4≤(x+1)/2≤5

260

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 5 - 3x | > 7

328

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 7 - 3x | > 4

Solve each inequality. Give the solution set in interval notation. | 5 - 3x | ≤ 7

289

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. See Example 4. 1≤(4x-5)/2<9

364

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 7 - 3x | ≤ 4

575

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | (2/3)x + 1/2 | ≤ 1/6

Solve each inequality. Give the solution set in interval notation. | 5/3 - (1/2) x | > 2/9

326

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. | 0.01x + 1 | < 0.01

Explain why the equation | x | = √x² has infinitely many solutions.

Solve each equation or inequality. |4x + 3| - 2 = -1

210

views

Textbook Question

Solve each equation or inequality. |8 - 3x| - 3 = -2

218

views

Textbook Question

Solve each equation or inequality. |6 - 2x | + 1 = 3

Solve each equation or inequality. | 4 - 4x | + 2 = 4

224

views

Textbook Question

Solve each equation or inequality. | 3x + 1 | - 1 < 2

Solve each equation or inequality. | 5x + 2 | - 2 < 3

203

views

Textbook Question

Solve each equation or inequality. | 5x + 1/2 | -2 < 5

Solve each equation or inequality. | 2x+ 1/3 | +1 < 4

217

views

Textbook Question

Solve each equation or inequality. | 10 - 4x | + 1 ≥ 5

207

views

Textbook Question

In Exercises 51–58, solve each compound inequality. 6 < x + 3 < 8

434

views

Textbook Question

Solve each equation or inequality. | 12- 5x | + 3 ≥ 9

225

views

Textbook Question

In Exercises 51–58, solve each compound inequality. - 3 ≤ x - 2 < 1

255

views

Textbook Question

Solve each equation or inequality. | 3x- 7 | + 1 < -2

240

views

Textbook Question

Solve each equation or inequality. |-5x + 7 | - 4 < -6

211

views

Textbook Question

In Exercises 51–58, solve each compound inequality. - 11 < 2x - 1 ≤ - 5

308

views

Textbook Question

Solve each equation or inequality. | 10- 4x | ≥ 4

264

views

Textbook Question

Solve each equation or inequality. | 12- 9x | ≥ -12

220

views

Textbook Question

Solve each equation or inequality. | 6- 3x | 4 < -11

263

views

Textbook Question

In Exercises 51–58, solve each compound inequality. - 3 ≤ (2/3)x - 5 < - 1

335

views

Textbook Question

Solve each equation or inequality. |18- 3x | 4 < -13

205

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |x| < 3

237

views

Textbook Question

Solve each equation or inequality. | 8x + 5| = 0

222

views

Textbook Question

Solve each equation or inequality. | 7 + 2x| = 0

261

views

Textbook Question

Solve each equation or inequality. | 4.3x + 9.8| < 0

253

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |x - 1| ≤ 2

416

views

Textbook Question

Solve each equation or inequality. | 1.5x - 14| < 0

278

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |x + 3| ≤ 4

292

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |2x - 6| < 8

246

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |3x + 5| < 17

228

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |2(x - 1) + 4| ≤ 8

288

views

Textbook Question

Solve each equation or inequality. | 4x+ 3| > 0

198

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |3(x - 1)/4| < 6

273

views

Textbook Question

Write each statement using an absolute value equation or inequality. . m is no more than 2 units from 7.

252

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |x| > 3

247

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |x - 1| ≥ 2

245

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7

330

views

Textbook Question

Write each statement using an absolute value equation or inequality. r is no less than 1 unit from 29.

339

views

Textbook Question

Write each statement using an absolute value equation or inequality. q is no more than 8 units from 22.

267

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |(2x + 2)/4| ≥ 2

235

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5

418

views

Textbook Question

The temperatures on the surface of Mars in degrees Celsius approximately satisfy the inequality |C + 84 | ≤ 6. What range of temperatures corresponds to this inequality?

276

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 3|x - 1| + 2 ≥ 8

272

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 5|2x + 1| - 3 ≥ 9

211

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. - 2|x - 4| ≥ - 4

426

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. - 4|1 - x| < - 16

374

views

Textbook Question

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as | x^2 - x | = 6, work Exercises 83–86 in order. For x^2 - x to have an absolute value equal to 6, what are the two possible values that x may assume? (Hint: One is positive and the other is negative.)

551

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 11x≥2(x-4)

305

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 3 ≤ |2x - 1|

218

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. -5x - 4≥3(2x-5)

285

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 7x-2(x-3) ≤5(2-x)

259

views

Textbook Question

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 3x^2 + x | = 14

212

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 5 ≤ 2x -3 ≤ 7

647

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 5 > |4 - x|

244

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. -8 >3x-5>-12

287

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|

247

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 12 < |- 2x + 6/7| + 3/7

238

views

Textbook Question

In Exercises 59–94, solve each absolute value inequality. 4 + |3 - x/3| ≥ 9

496

views

Textbook Question

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y1 = x/2 + 3, y2 = x/3 + 5/2, and y1 ≤ y2

803

views

Textbook Question

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y1 = (2/3)(6x - 9) + 4, y2 = 5x + 1, and y1 > y2

220

views

Textbook Question

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 2x - 11 + 3(x + 2) and y is at most 0

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9

257

views

Textbook Question

Solve and graph the solution set on a number line: 3|2x-1| ≥ 21

693

views

Textbook Question

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 8 - |5x + 3| and y is at least 6

394

views

Textbook Question

In Exercises 103–104, use the graph of y = |4 - x| to solve each inequality.

In Exercises 105–106, use the table to solve each inequality. - 3 < 2x - 5 ≤ 3

207

views

Textbook Question

When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.

586

views

Textbook Question

When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.

460

views

Textbook Question

Solve and graph the solution set on a number line: (2x−3)/4 ≥ 3x/4 + 1/2

221

views

Textbook Question

Solve each equation or inequality. |8-5x| ≥ 2

199

views

Textbook Question

Solve each equation or inequality. |7x-3| > 4

254

views

Textbook Question

Solve each equation or inequality. |7x+8| - 6 > -3

243

views

Textbook Question

Solve each equation or inequality. |4x-12| ≥ -3

232

views

Textbook Question

Write each statement using an absolute value equation or inequality. p is at least 3 units from 1.

305

views

Textbook Question

Solve each problem. Suppose two acid solutions are mixed. One is 26% acid and the other is 34% acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? A. 24% B. 30% C. 31% D. 33%

views

Textbook Question

In Exercises 107–110, use graphs to find each set. [1,3) ∩ (0,4)

views

Textbook Question

In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3)

views

Textbook Question

In Exercises 104–106, express each interval in set-builder notation and graph the interval on a number line. (-2, ∞)

views

Textbook Question

In Exercises 61–64, find the domain of each function. f(x) = √(x/(2x - 1) - 1)

views

Textbook Question

In Exercises 61–64, find the domain of each function. f(x) = √(2x/(x + 1) - 1)

views

Textbook Question

In Exercises 61–64, find the domain of each function. f(x) = 1/√(4x^2 - 9x + 2)

views

Textbook Question

In Exercises 61–64, find the domain of each function. f(x) = √(2x^2 - 5x + 2)

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3≤4x^2

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3≥9x^2

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3+x^2+4x+4>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3−3x^2−9x+27<0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3+2x^2−4x−8≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^3+2x^2−x−2≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (2−x)^2(x−7/2)<0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (1−x)^2(x−5/2)<0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x(4−x)(x−6)≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x(3−x)(x−5)≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (x+1)(x+2)(x+3)≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (x−1)(x−2)(x−3)≥0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. x/(x−3)>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 4x^2−4x+1≥0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (3x+5)/(6−2x)≥0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (4−2x)/(3x+4)≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 9x^2−6x+1<0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (−x−3)/(x+2)≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2≤2x+2

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (−x+2)/(x−4)≥0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+3)/(x+4)<0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x−4)/(x+3) > 0

views

Textbook Question

Solve each inequality in Exercises 86–91 using a graphing utility. 1/(x + 1) ≤ 2/(x + 4)

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2≤4x−2

views

Textbook Question

Solve each inequality in Exercises 86–91 using a graphing utility. (x - 4)/(x - 1) ≤ 0

views

Textbook Question

Solve each inequality in Exercises 86–91 using a graphing utility. x^3 + x^2 - 4x - 4 > 0

views

Textbook Question

Solve each inequality in Exercises 86–91 using a graphing utility. 2x^2 + 5x - 3 ≤ 0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. −x^2+2x≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. −x^2+x≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 3x^2−5x≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 2x^2+3x>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2+2x<0

views

Textbook Question

Solve each inequality in Exercises 86–91 using a graphing utility. x^2 + 3x - 10 > 0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2−4x≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 4x^2+1≥4x

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 5x≤2−3x^2

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 3x^2+16x<−5

views

Textbook Question

In Exercises 69–74, solve each inequality and graph the solution set on a real number line. (x + 3)/(x - 4) ≤ 5

views

Textbook Question

In Exercises 69–74, solve each inequality and graph the solution set on a real number line. 2x^2 + 9x + 4 ≥ 0

views

Textbook Question

In Exercises 69–74, solve each inequality and graph the solution set on a real number line. 2x^2 + 5x - 3 < 0

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. x^2 - x - 6 < 0

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. x^2 - 9x + 20 < 0

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 2x^2 - 9x ≥ 18

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 3x^2 + x ≥ 4

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x^2 + 4x + 1 ≥ 0

views

Textbook Question

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x^2 + 2x + 6 > 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) = 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) < 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) > 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 7x(x - 1)(x - 2) ≥ 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(X-2) / {(X-1)(X-3)} = 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(X-2) / {(X-1)(X-3)} < 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(X-2) / {(X-1)(X-3)} > 0

views

Textbook Question

Use the graph to solve each equation or inequality. Use interval notation where appropriate. 2(X-2) / {(X-1)(X-3)} ≤ 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. (2x - 1)(5x - 9)(x - 4) < 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. (x - 4)(2x + 3)(3x - 1) ≥ 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. (x - 3)(x - 4)(x - 5)^2 ≤ 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. -(x - 3)(x - 4)^2 (x - 5) > 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. (x + 3)^3(2x - 1)(x + 4) ≥ 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. 2x^3 - 7x^2 ≥ 3 - 8x

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 - x^3 - 10x^2 - 8x < 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 + 2x^3 + 36 < 11x^2 + 12x

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x - 1)/(x - 4) > 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x + 1)/(x - 5) > 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (2x + 3)/(x - 5) ≤ 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (3x + 7)/(x - 3) ≤ 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 8 /(x - 2) ≥ 2

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 20/(x - 1) ≥ 1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (x - 8)/(x - 4) < 3

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. (2x - 3)/(x + 1) > 4

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (a) (x - 5)(x + 2) ≥ 0 (b) (x - 5)(x + 2) > 0 (c) (x - 5)(x + 2) ≤ 0 (d) (x - 5)(x + 2) < 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (a) -(x + 1)(x + 2) ≥ 0 (b) -(x + 1)(x + 2) > 0 (c) -(x + 1)(x + 2) ≤ 0 (d) -(x + 1)(x + 2) < 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. - ( x +√2)(x-3) < 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (x-4)(x + √2) < 0

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^5 + x^2 + 2 ≥ x^4 + x^3 + 2x

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. x^4 + 6x^2 + 1 ≥ 4x^3 + 4x

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. (x - 4)^2 ≤ 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. -(x + 1)^2 ≥ 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. x^2 + x - 30 ≤ 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. x^2 - 2 > x

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Example 1. 2^x2 + 5 ≤ 11x

views

Textbook Question

Solve each polynomial inequality. Give the solution set in interval notation. See Examples 2 and 3. 23. (a) -x(x - 1)(x - 2) ≥ 0 (b) -x(x - 1)(x - 2) > 0 (c) -x(x - 1)(x - 2) ≤ 0 (d) -x(x - 1)(x - 2) < 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. {x^2 - 3x- 4} /{ x^2 + 6x + 9} ≤ 0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 1 /{x+ 2} > 1 /{ x -3}

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 1 /{x - 1} < 1 /{ x + 1}

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 2 /{x - 2} ≥ 1 / x

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 5 /{x + 3} ≥ 3 /x

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 5 /{2 - x} > 3 /{ 3 - x}

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 3 /{4 - x} > 6 /{ 1 - x}

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 1 /{x^2 - 4} ≤ 1 /{ 2 - x}

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 4 and 5. 1 /{x^2 - 4x + 3} ≤ 1 /{ 3 - x}

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. (2x-1)(x+5)<0

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. (x-4)(x-1)(x+2)>0

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. (x+7)/(2x+1)<0

views

Textbook Question

Solve each inequality. Give the solution set in interval notation. 4/(x+6)>2/(x-1)

views

Textbook Question

Fill in the blank(s) to correctly complete each sentence. A polynomial function with leading term 3x^5 has degree ____.

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (2x-3)/x^2+1≥0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (9x-8)/(4x^2+25)<0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (5-3x)^2/(2x-5)^3>0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (5x-3)^3/(25-8x)^2≤0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (2x-3)(3x+8)/(x-6)^3≥0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. (9x-11)(2x+7)/(3x-8)^3>0

views

Textbook Question

Solve each problem. See Example 7. A baseball is hit so that its height, s, in feet after t seconds is s=-16t^2+44t+4. For what time period is the ball at least 32 ft above the ground?

views

Textbook Question

Solve each problem. See Example 7. Velocity of an Object The velocity of an object, v, after t seconds is given by v=3t^2-18t+24.Find the interval where the velocity is negative.

views

Textbook Question

Answer the following. Why can 3 not be in the solution set of 14x+9 / x-3 < 0? (Do not solve the inequality.)

views

Textbook Question

Answer the following. Why must -4 be in the solution set of x+4 / 2x+1 ≥ 0? (Do not solve the inequality.)

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-7x+10<0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-x-6>0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-7x+10>0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 2x^2-9x≤18

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 3x^2+x≤4

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x(x-1)≤6

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x(x+1)<12

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2≤9

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2>16

views

Textbook Question

Which inequality has solution set (-∞, ∞)? A. (x-3)^2≥0 B. (5x-6)^2≤0 C. (6x+4)^2>0 D. (8x+7)^2<0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 1/(x+2)≥3

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 7/(x+2)≥1/(x+2)

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 5/(x+1)>12/(x+1)

178

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 5/(1-x)≤2/(1-x)

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 4/(3+x)≤3/(3+x)

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 3/(2x-1)>-4/x

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 4/(2-x)≥3/(1-x)

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 4/(x+1)<2/(x+3)

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x+3)/(2x-5)≤1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x+2)/(2x+3)≤5

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. x²-3x ≥ 5

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 3x+6 / x-5 > 0

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. x+7 / 2x+1 ≤1

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 3x-2/x - 4 > 0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 4x^2+3x+1≤0

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-2x≤1

views

Textbook Question

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2+4x>-1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x-3)/(x+5)≤0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x-1)/(x-6)≤0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x+2)/(x+7)≥0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (x+1)/(x-4)>0

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (1-x)/(x+2)>-1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. (6-x)/(x+2)>1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 3/(x-6)≤2

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 3/(x-2)<1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. -4/(1-x)<5

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 10/(x+3)≥1

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 3/(x+5)>2

views

Textbook Question

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 10/(3+2x)≤5

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 5x+2/x +1 < 0

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 3/x-1 ≤ 5/x+3

views

Textbook Question

Solve each inequality. Give the solution set using interval notation. 3/x+2 > 2/x-4

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (x−4)(x+2)>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (x+3)(x−5)>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. (x+1)(x−7)≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2+5x+4>0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x^2−6x+9<0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 3x^2+10x−8≤0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 9x^2+3x−2≥0

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 2x^2+x<15

views

Textbook Question

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. 6x^2+x>1

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)/x>0

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)(x−1)/(x+2)≤0

views

Textbook Question

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. |x^2 + 2x - 36| > 12

views

Textbook Question

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 3/(x +3) > 3/(x - 2)

views

Textbook Question

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 1/(x + 1) > 2/(x - 1)

views

Textbook Question

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. (x^2 -x - 2)/(x^2 - 4x + 3) > 0

views

Textbook Question

In Exercises 71–72, use the graph of the polynomial function to solve each inequality.

2x^3 + 11x^2 ≥ 7x + 6

views

Textbook Question

In Exercises 71–72, use the graph of the polynomial function to solve each inequality.

2x^3 + 11x^2 < 7x + 6

views

Textbook Question

In Exercises 73–74, use the graph of the rational function to solve each inequality.

1/4(x + 2) ≤ - 3/4(x - 2)

views

Textbook Question

In Exercises 73–74, use the graph of the rational function to solve each inequality.

1/4(x + 2) > - 3/4(x - 2)

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x - 2)/(x + 2) ≤ 2

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. x/(x + 2) ≥ 2

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 1)/(x + 3) < 2

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 4)/(2x - 1) ≤ 3

views

Textbook Question

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation.1/(x - 3) < 1

views

Showing 323 of 323 practice

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

1. Equations & Inequalities

Linear Inequalities

Learn with Callie

Learn with other creators

Practice this topic