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Master Absolute Value Inequalities: Definitions, Graphing, and Examples

Learn the definitions of absolute value inequalities, steps for solving and graphing linear absolute value inequalities, and solve various examples. Understand the principles behind solving for absolute value inequalities. Challenge yourself with practice exercises.

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Master Absolute Value Inequalities: Definitions, Graphing, and Examples

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  1. Absolute Value Inequalities 12/19/2019 3:30 PM 2-8: Absolute Value Inequalities 1

  2. Definitions • Inequality is an equation where the variable does not equal to each other • >, <, or ≠ requires the dot being OPEN • >, <, or = required the dot being CLOSED 2-5: Graphing Linear Inequalities

  3. Steps for Solving and Graphing Absolute Value Inequalities • Identify whether it is an AND/OR inequality • Write both equations with one with the regular sign and other equation with the sign SWITCHED with OPPOSITE number 2-8: Absolute Value Inequalities 3

  4. Solving for Absolute Value Inequalities When Solving for Inequalities, remember: Less ThAND GreatOR Than Less Than, “AND” Greater Than, “OR” 2-8: Absolute Value Inequalities 4

  5. Example 5 Solve and graph the solution -3 -3 -3 | 2 | 0 | –8 2-8: Absolute Value Inequalities 5

  6. Example 6 Solve and graph the solution | 2 | 0 | -5 | –9/2 | -4 2-8: Absolute Value Inequalities 6

  7. Example 7 Solve and graph the solution 2-8: Absolute Value Inequalities

  8. Example 8 Solve

  9. Example 8 2-8: Absolute Value Inequalities

  10. Example 10 Solve 2-8: Absolute Value Inequalities

  11. Example 11 Solve and graph the solution | 0 No Solution 2-8: Absolute Value Inequalities

  12. Your Turn Solve and graph the solution -2 -2 All Real Numbers 2-8: Absolute Value Inequalities

  13. Example 12 Solve and graph the solution | 0 All Real Numbers 2-8: Absolute Value Inequalities 13

  14. Your Turn Solve and graph the solution on a number line | 4/3 | 6 | 0 2-8: Absolute Value Inequalities

  15. Example 10 Solve 2-8: Absolute Value Inequalities

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