absolute value inequalities

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

• -8 < b < 8

• b > 8 or b < -8

• -152 < b < 8

• No solution

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers