Absolute Value Inequality

Solve.
|3c - 4| < 12

• -2 2/3 < c < 5 1/3

• c < -5 1/3  or c > 2 2/3

• c < 5 1/3 or c > -2 2/3

• -5 1/3 < c < 2 2/3

Solve:
|x + 3| > - 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

Solve the absolute value inequality: |2x - 3| < 5

• -2 < x < 4

• -1 < x < 3

• -1 < x < 5

• -1 < x < 4

What is the first step in solving

|5x + 7| < 22

• Subtract 7 on both sides

• Divide 5 on both sides

• Set up two inequalities

• Set up one inequality

What is the first step in solving |x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

|x+2| > 3

Please answer in interval notation

• (-Infinity,1)

• (-5,-1)

• (-4,4)

• (-infinity, -5)(1, infinity)

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3