Solve and Graph Absolute Value Inequalities

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

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

• - 4 ≤ x ≤ 6
• x ≥ - 4 or x ≤ 6
• x ≥ 4 or x ≤ - 6
• - 4 ≤ x ≤ - 6

• - 6 < x < 26/5
• - 6 < x < 25
• x < - 6 or x > 26/5
• x > - 6 or x < 26/5

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

• no solution
• -6 < x < 26
• x < -6 or x > 26
• all real numbers

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

| 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

• Infinite solutions
• - 2 ≤ x ≤ - 7 
• No Solution
• -7/3 ≤ x ≤ -3/7

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or