Solve absolute inequalities

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:  |k| < 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve.

• -1 < r or r < 9

• -1 < r < 9

• r < 9

• -1 < r

Solve:

−3| 2t−3 | + 5 > −16

• ( 1/3, 5 )

• (-∞, -2) U (5, ∞)

• (-∞, ∞)

• (-2, 5)

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10
• x > 6 or x < -14
• all real numbers
• no solution

• - 7 < y < 3
• - 8 < y < 4
• - 7 < y < - 3
• - 8 < y < - 4

Solve.

• b < -8

• b > -8

• 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