Solve Absolute Value Inequalities

• - 1/3 < n or n > 5/3
• -1/3 < n < 5/3
• 1/3 < n < 5/3
• n < -5/3 or n > 1/3

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

• x > 2 or x < 6
• x > 6 or x < 2
• - 2 < x < 6
• x > 9 or x < 20/7

• - 7 < y < 3
• - 8 < y < 4
• - 7 < y < - 3
• - 8 < y < - 4

• A

• B

• C

• D

Show the missing steps for each side of the absolute value function

a

b

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

• A

• B

• C

• D

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

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