Compound Absolute Value Inequalities and Equations

Solve |2x -1| = 9

• x = -4, x = 5

• x = 4, x = 5

• x = 4, x = -5

• No Solution

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

|8 - 4x| = 16

• x = -2, x = -6

• x = 2 , x = 24

• x = -2, x = 6

• No Solution

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0

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

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

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

• all real numbers
• no solution
• 0 < v < 6⁄7
• 0 ≤ v ≤ 6/7

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

Solve for v.

• v ≥ -6 and v ≤ -4

• v > -6 and v < -4

• v ≥ -6 or v ≤ -4

• v > -6 or v < -4