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# EXAMPLE 1 Solve absolute value inequalities

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EXAMPLE 1 Solve absolute value inequalities Solve the inequality. Graph your solution. |x|  6 a. SOLUTION 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.

EXAMPLE 1 Solve absolute value inequalities Solve the inequality. Graph your solution. b. x  0.5 SOLUTION The distance between x and 0 is less than or equal to 0.5. So, –0.5 ≤ x ≤ 0.5. ANSWER The solutions are all real numbers greater than or equal to –0.5 and less than or equal to 0.5.

EXAMPLE 4 GUIDED PRACTICE Find a base using the percent equation for Example 1 Solve the inequality. Graph your solution. |x|  8 –8  x  8 ANSWER

EXAMPLE 4 GUIDED PRACTICE Find a base using the percent equation for Example 1 Solve the inequality. Graph your solution. |u| < 3.5 –3.5 < u < 3.5 ANSWER

EXAMPLE 4 GUIDED PRACTICE Find a base using the percent equation for Example 1 Solve the inequality. Graph your solution. 3. v > 2 3 2 3 v < – or v > ANSWER

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