Absolute Value Equations and Inequalities

Solve for x. |-x - 1|= 4

• x = -5, 3

• x = -5

• x = 3

• No solution

Solve for x. |3x+6|=18

• x = -8, 4

• x = -4, 2

• x = -9, 3

• No solution

Solve for x. |4x|- 1 = 11

• x = -3, 3

• x = 2, 4

• x = -⁵/₂ ,⁵/₂

• No solution

Solve for x. 2|x+3|= - 4

• x = -5, -1

• x = -3, 6

• x = -4, 4

• No solution

Solve for x. |3x+12|< 9

• -7 < x < -1

• -1 < x < 3

• x > 7 or x < -1

• No solution

Solve for x. |x+2|≤ 4

• x ≤ 2

• -2 ≤ x ≤ 2

• -6 ≤ x ≤ 2

• No solution

Solve for x. |x - 1|+ 2 < -1

• -2 < x < 0

• 4 < x < -2

• -3 < x < 3

• No solution

Solve for x. |6x|= 30

• x = -5, 5

• x = -6, 6

• x = -24, 36

• No solution