Solving Absolute Value Equations and Inequalities

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

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

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

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

• 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

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D