Solving and Graphing Absolute Value Inequality on a Plane

Solve: |x+5| < 9

• -14 < x < 4

• x > -14 or x < 4

• -4 < x < 4

• x > -4 or x < 14

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

Solve: 10 < |2x + 4|

• -7 < x < 3

• -3 < x < 3

• x < -3 or x > 3

• x < -7 or x > 3

Solve |x - 4|- 3 < 5

• -12 < x < 12

• No solution

• -4 < x < 12

• x > -4 or x < 12

|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

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

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