Solving Absolute Value Inequalities Practice Set

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

• x < 1/2 or x > 5/2

• x < 2/3 or x > 4/3

• x < -1/2 or x > 4/2

• x < 3/2 or x > 3/2

Solve the absolute value inequality: |4 - 3x| ≥ 7

• x ≤ -1 or x ≥ 4

• x ≤ -1 or x ≥ 11/3

• x ≤ -1 or x ≥ 5

• x ≤ -1 or x ≥ 10/3

Solve the absolute value inequality: |5x + 2| > 10

• x < -2.4 or x > -1.6

• x < -2.4 or x > 1.6

• x < -2.4 or x < 1.6

• x > -2.4 or x < 1.6

Solve the absolute value inequality: |2x + 1| ≤ 3

• -4 ≤ x ≤ -1

• -2 ≤ x ≤ 1

• -1 ≤ x ≤ 2

• -3 ≤ x ≤ 0

Solve the absolute value inequality: |3 - 2x| > 6

• x < -2 or x > 5

• x < -3 or x > 6

• x < -1.5 or x > 4.5

• x < -1 or x > 4

Solve the absolute value inequality: |4x - 5| < 2

• x < 5/4 or x > 5/4

• x > 5/4 or x < 5/4.

• x < 5/4 and x > 5/4.

• x < 5/4 or x > 5/4.

Solve the absolute value inequality: |6 - 4x| ≥ 8

• x ≤ -0.5 or x ≥ 3.5

• x ≥ -0.5 or x ≤ 3.5

• x ≤ -0.5 or x ≤ 3.5

• x ≤ -0.5 or x ≥ 3.5

Solve the absolute value inequality: |7x + 3| > 9

• x < -12/7 or x > 6/7.

• x < -12/7 or x < 6/7.

• x > -12/7 or x > 6/7.

• x < -12/7 or x > 6/7