Absolute Value Inequalities

Solve for x
| m - 2 | < 8

• 9 > m > 8

• 2 < m < -6

• -6 < m < 10

• 0 > m < 0

Solve for x
∣ -2x + 9 ∣ > 15

• x<-3 or x>12

• -3 < x < 12

• x<-3 and x>12

• -3 < x > 12

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

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

• A

• B

• C

• D

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

What is the first step in solving

|x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

• A

• B

• C

• D

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8