Solving Inequalities with Absolute Value

• A
• B
• C
• D

| x + 3 | > 8

• No Solution

• All Real Numbers

• x < -11  or  x > 5

• -5 < x < 11

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• A

• B

• C

• D

• 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

What is the correct first step?

(a)  

• divide by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and

• multiply by 10

What is the first step?  (a)  

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both

• Split into two equations

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