Absolute Value Equations and Inequalities

Multiple Choice

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Multiple Choice

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

Multiple Choice

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Multiple Choice

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7
• p ≤ -13 or p ≥ 7
• -7 ≤ p ≤ 13
• p ≤ -7 or p ≥ 13

Multiple Choice

Solve:
|x + 4| - 8 > 2

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

Multiple Choice

Solve.
-5|x - 4| > -20

• 0 < x < 8

• x > 8 or x < 0
• all real numbers
• no solution

Multiple Choice

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Multiple Choice

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution