Absolute Value Equations & Inequalities

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

−2|−2r − 4| = -12

• {5,1}
• {-5, -1}
• {-5, 1}
• No Solution

Solve for x
| 6 - 2x | = -5

• 11/2, 1/2
• -5, 5
• 1, 3
• ⊘ No solution

| n + 2 | - 3 ≥ -6

• No Solution
• All Real Numbers
• n ≤ -5  or  n ≥ 1
• -5 ≤ n ≤ 1

Solve:

 $\left|5x+10\right|=30$  

• x = 4 and x = -8

• x = 4 or x = -8

• x = 7 or x = -8

• x = 7 and x = -8