Absolute Value Equations & Inequalities

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3   x = -6
• x = 3   x = -12
• x = 6   x = -12

Solve the equation. 
4|n + 8| = 56

• n = 6
• n = -22
• n = 6, -22
• No solution

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution

• x ≤ 6
• x ≥ -14
• No solution
• -14 ≤ x ≤ 6