Absolute Value Equations & Inequalities

Solve this equation. 
|-6x| = 30

• x = -5

• No solution

• x = 5, -5

• x = 5 

Solve the equation. 
|x/7| = 3

• No solution

• x = 21

• x = 21, -21

• x = -21

Solve the equation. 
|m| + 2 = 11

• m = -9

• m = 9

• m = -13, 9

• m = 9, -9

Solve the equation. 
4|n + 8| = 56

• n = 6

• n = -22

• n = 6, -22

• 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

• 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

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