Absolute Value Inequalities

Solve the following inequality:

| x − 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• −1 < x < 5

• x < −1 or x > 5

What is the inequality for this graph?

What is the inequality for this graph?

Which statement best describes this graph?

The maximum speed on Main Street is 25mph.

What is the inequality that best reflects this statement? (s = speed)

Which inequality statement best describes this graph?

• X is greater than 23

• X is less than 23

• X is greater than, or equal to 23

• X is less than, or equal to 23

What is the inequality statement for this graph?

Solve: |x + 3| < 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• 5 < x < 11

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11