Solving Absolute Value Inequalities Review

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

2t - 3 | - 5 > 16

• No Solution

• All Real Numbers

• t < -2  or  t > 5

• -2 < t < 5

• 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

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

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

What is the first step in solving |x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides