Absolute Value Functions

Solve:  |x + 3| < 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• 5 < x < 11

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |x - 3| < 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |x - 3| > 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |2x - 1| ≥ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |k| > -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve:  |k| < -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution