Solving Absolute Value Equations and Inequalities

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

4|5x-2|+7>39

• -6/5<x>2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x<-6/5 or x>2

−2|−2r − 4| = -12

• No Solution

• no solution

Solve for x
∣ 2x + 9 ∣ = 15

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

|6 - 2k| = 18

• k = -6
• k = -6, k = 12
• k = -6, k = -12
• k = -6, k = 5

Solve the inequality. 
|m| + 5 < 9

• m < 4
• m < -4
• -4 < m < 4
• m < 4,-4

Solve:
|x + 4| - 8 > 2

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

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution