Solve Absolute Value Equations and Inequalities

Which inequality matches this graph?

• x > -1 or x < 2

• -1< x > 2

• -1 < x < 2

• -1 > x < 2

Solve |x - 4|- 3 < 5

• -12 < x < 12

• No solution

• -4 < x < 12

• x > -4 or x < 12

Solve |x| + 7 > 16

• -9 < x < 9

• x > 9 or x < -9

• x > 9 or x < -9

• -9 ≤ x < 9

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

|2x| ≤ 14; Is this an AND or an OR?

• AND

• OR

Solve -4|x + 1| < -20

• x < -6 or x > 4

• -6 < x < 4

• -4 < x < 4

• x < -4 or x > 4

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

• - 1/2 ≤ z ≤ 5/2
• 1/2 ≤ z ≤ 5/2
• z ≥ 1/2 or z ≤ 5/2
• z ≤ 1/2 or z ≥ 5/2

• - 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