absolute value inequalities

• x > 7 or x < -13

• -13 < x < 7

• x > 13 or x < -7

• -7< x < 13

Solve:
 |x + 3| - 5 > 8

• x > 10 or x < -16

• -16< x < 10

• x > 10 or x < -6

• -6 < x < 10

Solve:  2|x + 1| + 5 ≤ 19

• x ≥ 6 or x ≤ -8

• -8 ≤ x ≤ 6

• x ≥ 6 or x ≤ -13

• -13 ≤ x ≤ 6

• -8 < b < 8

• b > 8 or b < -8

• -152 < b < 8

• No solution

Solve.

-3|d - 4| < -12

• 0 < d < 8

• no solution

• d ≥ 8 or d ≤ 0

• infinite solutions

• v > 5 or v < -5

• -5 < v < 5

• all real numbers