Inequalities & Absolute Value

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

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

6x + 2 + 6x < 14

• x < 1

• x > 1

• x < -1

• x > -1

• A

• B

• C

• D

• A

• B

• C

• D

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

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

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

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers

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