Absolute Value Compound Inequalities

| 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

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

• All Real Numbers

• No Solution

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

What is the correct first step?

• Divide both sides by 10

• Multiply both sides by 10

• Make it two inequalities with an "or"

• Make it two inequalities with and "and

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

• all real numbers
• no solution
• 0 < v < 6⁄7
• 0 ≤ v ≤ 6/7

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

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0