Absolute Value Inequality Graph

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |2x - 1| ≥ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |k| < 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve:  |k| > 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve.

• -1 < r or r < 9

• -1 < r < 9

• r < 9

• -1 < r

What inequality is shown in the picture?

• -8 < x < -2

• x > -8 or x < -2

• -8 < x > -2

• x < -8 or x > -2

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

What is the proper absolute value inequality for the graph?

• | x + 1 | < 3

• | x - 1 | > 3