Quiz # 2 Solving Absolute Value Inequalities

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

|6 - 2f| = -5

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

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Solve:  |x + 3| < 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• 5 < x < 11

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |k| < 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve.

• b < -8

• b > -8

• All real numbers

• No solution

| 3c - 5 | < -2

• No Solution
• All Real Numbers
• 1 < c < ⁷/₃
• c < 1  or  c > ⁷/₃