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12/19/2019 3:30 PM

Absolute Value Inequalities. 12/19/2019 3:30 PM. 1. 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. Steps for Solving and Graphing Absolute Value Inequalities.

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12/19/2019 3:30 PM

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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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