College Algebra
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Write the equivalent interval notation for the given inequality.
x < -8
x ≤ 4
-5< x ≤ 9
x ≥ 7
x ≥ -3
5 ≤ x
Find the solution set for the following inequality. Express the answer in interval notation. 7(x + 11) + 13 ≥ 5 + 7x
Find the solution set for the following inequality. Express the answer in interval notation. 9x - 2x + 5 < 4(x + 2)
Find the solution set for the following inequality. Express the answer in interval notation. 1 - 3x + 9(x - 3) < - 1(x - 9)
Find the solution set for the following inequality. Express the answer in interval notation. (9x + 2)/(- 5) ≤ 3x + 2
Find the solution set for the following inequality. Express the answer in interval notation. (3x - 1)/(- 4) ≤ 2 - 6x
Find the solution set for the following inequality. Express the answer in interval notation.
Find the solution set for the following inequality. Express the answer in interval notation. - 3 < 6 + 9x < 42
Find the solution set for the following inequality. Express the answer in interval notation. 11 ≤ 3x + 5 ≤ 20
Find the solution set for the following inequality. Express the answer in interval notation. 6 > - 2x + 9 > - 9
Find the solution set for the following inequality. Express the answer in interval notation. - 5 ≤ (11x + 3)/6 ≤ 6
Find the solution set for the following inequality. Express the answer in interval notation. 7 ≤ (3x - 2)/4 < 13
Express the solution set in interval notation for the following absolute value inequality. |7x - 2| < 12
Express the solution set in interval notation for the following absolute value inequality. |7x - 2| ≥ 12
Express the solution set in interval notation for the following absolute value inequality. |4/5 - x| ≤ 3
Express the solution set in interval notation for the following absolute value inequality. |4/5 - x| < 3
Express the solution set in interval notation for the following absolute value inequality. 9|x + 2| > 81
Express the solution set in interval notation for the following absolute value inequality. |6 - 4x| > 46
Express the solution set in interval notation for the following absolute value inequality. |1 - 2x| > 37
Express the solution set in interval notation for the following absolute value inequality. |1 - 2x| ≤ 37
Express the solution set in interval notation for the following absolute value inequality. |6 - 3x| ≤ 54
Express the solution set in interval notation for the following absolute value inequality. |(3/5)x + 3/2| ≤ 3/10
Express the solution set in interval notation for the following absolute value inequality. |3/5 - (1/2)x| > 9/10
Express the solution set in interval notation for the following absolute value inequality. |0.09x + 0.9| < 0.72
Find the number of solutions for the given inequation.
|x + 2| = √(x+2)²
Solve the equation given below for x.
|3x + 7| - 4 = -3
|9x - 4| - 6 = -5
|5 - 3x| + 3 = 8
|6 - 6x| + 4 = 8
Work out the solution set of the following absolute value inequality:
|4x + 3| - 7 < 3
|7x + 5| - 8 < 9
|11x + 3/4| - 4 < 16
|6x + 1/8| + 4 < 8
|8 - 3x | + 3 ≥ 6
|15 - 7x| + 11 ≥ 17
|9x - 8| + 2 < -8
Solve the inequality given below:
|-4x + 9| - 8 < -18
|14 - 11x| ≥ 19
|16 - 17x| ≥ -37
|13 - 9x| < -21
|22 - 11x| < -23
|6x + 7| = 0
|11 + 4x| = 0
|5.7 - 8.9x| < 0
|2.5x - 18| < 0
|6x + 11| > 0
Rewrite the following statement as an inequality.
"G is no more than 11 units from 17"
Rewrite the following statement as an equation utilizing absolute value and inequality symbols.
"L is no less than 5 units from 31."
Rewrite the following statement as an absolute-value equation. "H is no more than 29 units from 37"
If the temperature of a planet (in Fahrenheit) is expressed using the absolute value equation |T + 167| ≤ 41. Determine the range of temperature.
For x2 - x to have an absolute value equal to 12, what are the two possible values that x may assume?
Using absolute value properties, solve the following inequality:
|4x2 + 3x| = 22
|x4 + 6x2 + 9| < 0
Write the solution set in interval notation for the following inequality.
7x ≥ 3(x - 6)
-8x - 23 ≥ 2(5x - 4)
15x - 4(x - 6) ≤ 4(4 - x)
23 ≤ 5x -7 ≤ 33
-12 > 7x - 4 > -18
Solve the following absolute-value inequality. |6 - 2a| ≥ 12
Solve the following absolute-value inequality. |7a - 13| > 27
Solve the following absolute-value inequality. |6 - 2a| - 5 > 7
Solve the following absolute-value inequality. |5x - 3| ≥ - 1
Convert the following word statement into a mathematical statement that makes use of both absolute value and inequality symbols.
"17 is at least 5 units from k."
Graph the solution set for the following equation:
|x| = 5
|x| = -6
Graph the solution set for the following inequality:
|x| > -4
|x| > 8
|x| < 3
|x| ≥ 9
|x| ≤ 6
|x| ≠ 8
Find the solution set for the following inequality. Express the answer in interval notation. 7x - (2x + 5) ≥ 5x - 11
Solve the following linear inequality and express the solution set in interval notation. Then, graph the solution set on a number line.
4 - x/5 > 6
6(2x - 4) - 2x < 5(1 + 2x) - 10
3(x - 4) - 2(x + 6) ≥ x - 10
Solve the given inequality using the table shown. 2 ≤ 2x -13 < 10
Solve the following inequality and graph its solution set: (3x - 2)/10 ≥ 2x/5 + 1/5
Graph the following interval on a number line and write it in set-builder notation: (3,10]
Graph the following interval on a number line and write it in set-builder notation: [-8,5)
Graph the following interval on a number line and write it in set-builder notation: [-7,6]
Graph the following interval on a number line and write it in set-builder notation: (8, ∞)
Graph the following interval on a number line and write it in set-builder notation: [-6, ∞)
Graph the following interval on a number line and write it in set-builder notation: (-∞, 5)
Use graphs to find the intersection of the two intervals: (-5, 1) ∩ [-3, 4]
Use graphs to find the union of the two intervals: (-5, 1) ⋃ [-3, 4]
Use graphs to find the intersection of the two intervals: (-∞, 7) ∩ [1, 10)
Use graphs to find the union of the two intervals: (-∞, 8) ⋃ [3, 9)
Use graphs to find the intersection of the two intervals: [5, ∞) ∩ (9, ∞)
Use graphs to find the union of the two intervals: [5, ∞) ⋃ (9, ∞)
3x + 15 < 27
5x - 3 ≥ 20
-7x ≥ 56
6x - 7 ≤ 2x - 16
5(x + 2) + 3 ≥ 2x + 13
5x - 9 < 2(x + 3)
2 - (x + 8) ≥ 6 - 4x
x/5 + 3/4 ≤ x/4 + 1
(x - 3)/7 ≥ (x - 2)/8 + 1/28
Solve the following compound inequality: 8 < x + 2 < 14
Solve the following compound inequality: -5 ≤ x - 4 < 7
Solve the following compound inequality: -14 < 3x - 5 ≤ -3
Solve the following compound inequality: -9 ≤ (1/3)x - 3 < -6
Simplify the given absolute value inequality and use interval notation to express the solution set. |x| ≤ 5
Simplify the given absolute value inequality and use interval notation to express the solution set. |x +2| ≤ 3
Simplify the given absolute value inequality and use interval notation to express the solution set. |5x -10| < 20
Simplify the given absolute value inequality and use interval notation to express the solution set. |3(x +2) +5| ≤ 11
Use interval notation to express the solution set of the following absolute value inequality. |x| > 5
Simplify the given absolute value inequality and use interval notation to express the solution set. |x +5| ≥ 3
Simplify the given absolute value inequality and use interval notation to express the solution set. |2x -9| > 8
Simplify the given absolute value inequality and use interval notation to express the solution set. |2 -x/5| > 1
Simplify the given absolute value inequality and use interval notation to express the solution set. 5|x +1| -2 ≥ 3
Simplify the given absolute value inequality and use interval notation to express the solution set. -|5x -11| ≥ -9
Simplify the given absolute value inequality and use interval notation to express the solution set. 2 > |5 -7x|
Simplify the given absolute value inequality and use interval notation to express the solution set. 5 < |-3x +5| -2
Find all the values of x satisfying the given conditions and use interval notation to represent them.
z1 = x +1, z2 = x/2 +4; z1 -2 ≤ z2
Find all the values of x satisfying the given conditions and use interval notation to represent them. y = 3x + (1 -x) -2; y is at most 5
Find all the values of x satisfying the given conditions and use interval notation to represent them. y = 1 +|2 -x| and y > 7
Solve the following inequality and graph its solution set: 2|2x - 8| ≥ 16
Solve the given inequality using the graph shown. |x+2| ≥ 1
The absolute value function of the sum of 2 times a number and 3 is at most 6. Express all the points in interval notation that satisfy the condition.