Solve absolute value inequalitiesEXAMPLE 1

Solve the inequality. Graph your solution.

a. |x| 6

a. The distance between x and 0 is greater than or equal to 6. So, x –6 or x 6.

ANSWER

The solutions are all real numbers less than or equal to –6 or greater than or equal to 6.

SOLUTION

Solve absolute value inequalitiesEXAMPLE 1

b. x 0.5

The distance between x and 0 is less than or equal to 0.5. So, –0.5 ≤ x ≤ 0.5.

SOLUTION

ANSWER

The solutions are all real numbers greater than or equal to –0.5 and less than or equal to 0.5.

Solve the inequality. Graph your solution.

Find a base using the percent equationEXAMPLE 4GUIDED PRACTICE for Example 1

Solve the inequality. Graph your solution.

1. |x| 8

–8 x 8ANSWER

Find a base using the percent equationEXAMPLE 4GUIDED PRACTICE for Example 1

2. |u| < 3.5

Solve the inequality. Graph your solution.

–3.5 < u < 3.5ANSWER

Find a base using the percent equationEXAMPLE 4GUIDED PRACTICE for Example 1

3. v > 23

Solve the inequality. Graph your solution.

23

23v < – or v >ANSWER