1. Absolute Value Inequalities
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Absolute Value Inequalities
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2-8: Absolute Value Inequalities 1

2. 2-5: Graphing Linear Inequalities
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
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2-5: Graphing Linear Inequalities

3. Steps for Solving and Graphing Absolute Value Inequalities
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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
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2-8: Absolute Value Inequalities 3

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

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

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

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

8. Example 8
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Solve

9. 2-8: Absolute Value Inequalities
Example 8
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2-8: Absolute Value Inequalities

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

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

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

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

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

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