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

846

views

3:49

Solving A Compound Linear Inequality

Absolute Value Inequalities - How to Solve

Mario's Math Tutoring

550

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}

262

views

Multiple Choice

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

320

views

Multiple Choice

Express the given set in interval notation and graph.

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

240

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

250

views

Textbook Question

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

203

views

Textbook Question

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

379

views

Textbook Question

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

233

views

Textbook Question

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

239

views

Textbook Question

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

230

views

Textbook Question

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

721

views

Textbook Question

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

223

views

Textbook Question

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

267

views

Textbook Question

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

189

views

Textbook Question

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

332

views

Textbook Question

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

217

views

Textbook Question

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

224

views

Textbook Question

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

195

views

Textbook Question

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

562

views

Textbook Question

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

223

views

Textbook Question

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

242

views

Textbook Question

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

185

views

Textbook Question

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

284

views

Textbook Question

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

202

views

Textbook Question

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

327

views

Textbook Question

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

227

views

Textbook Question

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

235

views

Textbook Question

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

320

views

Textbook Question

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

204

views

Textbook Question

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

530

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)

569

views

Textbook Question

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

315

views

Textbook Question

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

222

views

Textbook Question

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

233

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

203

views

Textbook Question

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

489

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

797

views

Textbook Question

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

236

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

237

views

Textbook Question

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

250

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

298

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

304

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

338

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

255

views

Textbook Question

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

309

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

272

views

Textbook Question

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

347

views

Textbook Question

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

557

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

311

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

201

views

Textbook Question

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

210

views

Textbook Question

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

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

215

views

Textbook Question

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

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

198

views

Textbook Question

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

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

207

views

Textbook Question

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

199

views

Textbook Question

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

411

views

Textbook Question

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

218

views

Textbook Question

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

243

views

Textbook Question

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

231

views

Textbook Question

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

204

views

Textbook Question

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

288

views

Textbook Question

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

249

views

Textbook Question

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

207

views

Textbook Question

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

255

views

Textbook Question

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

319

views

Textbook Question

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

196

views

Textbook Question

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

225

views

Textbook Question

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

215

views

Textbook Question

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

252

views

Textbook Question

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

239

views

Textbook Question

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

397

views

Textbook Question

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

266

views

Textbook Question

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

277

views

Textbook Question

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

236

views

Textbook Question

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

221

views

Textbook Question

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

280

views

Textbook Question

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

188

views

Textbook Question

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

263

views

Textbook Question

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

234

views

Textbook Question

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

238

views

Textbook Question

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

233

views

Textbook Question

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

307

views

Textbook Question

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

316

views

Textbook Question

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

251

views

Textbook Question

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

229

views

Textbook Question

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

400

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?

261

views

Textbook Question

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

257

views

Textbook Question

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

203

views

Textbook Question

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

407

views

Textbook Question

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

361

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.)

526

views

Textbook Question

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

290

views

Textbook Question

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

207

views

Textbook Question

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

270

views

Textbook Question

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

244

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

203

views

Textbook Question

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

615

views

Textbook Question

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

233

views

Textbook Question

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

277

views

Textbook Question

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

236

views

Textbook Question

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

230

views

Textbook Question

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

479

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

774

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

214

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

250

views

Textbook Question

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

645

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

382

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

194

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.

564

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.

444

views

Textbook Question

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

215

views

Textbook Question

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

189

views

Textbook Question

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

243

views

Textbook Question

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

229

views

Textbook Question

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

224

views

Textbook Question

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

295

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)

166

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