Absolute Value Equations and Inequalities Concepts

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

Solve for x
| 2x – 3 | + 5 =10.

• { -1, 1 }

• { -1, 4 }

• { -1, -4 }

• { 1, 4 }

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

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
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

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

What are the two solutions for x?

• x = 7

• x = -7 

• x = -17   

• x = 17

Tags

CCSS.HSA-REI.B.4B

What is the proper inequality solution for the graph?

• -4 < x < 2

• x < -4 or x > 2

What is the proper absolute value inequality for the graph?

• | x + 1 | < 3

• | x - 1 | > 3

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D