Absolute Value Inequalities Check for Understanding

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

• -5 < x < 2

• -1 < x < 4

• x > 4

• x < -1

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

• x ≤ -1 or x ≥ 10/3

• x ≤ -1 or x ≥ 11/3

• x ≤ -1 or x ≥ 11/2

• x ≤ -1 or x ≥ 8/3

Solve the absolute value inequality: |3 - 2x| > 4.

• x < -1/2 or x > 7/2

• x < -1/2 or x > 3/2

• x < -1/2 or x > 5/2

• x < -1/2 or x > 7/2

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

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution