Absolute Value Inequalities

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Presentation transcript:

Absolute Value Inequalities 11/30/2018 Absolute Value Inequalities 11/30/2018 7:59 PM 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 1

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 11/30/2018 7:59 PM 2-5: Graphing Linear Inequalities

Steps for Solving and Graphing Absolute Value Inequalities 11/30/2018 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 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 3

Solving for Absolute Value Inequalities 11/30/2018 Solving for Absolute Value Inequalities When Solving for Inequalities, remember: Less ThAND GreatOR Than Less Than, “AND” Greater Than, “OR” 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 4

2-8: Absolute Value Inequalities 11/30/2018 Example 5 Solve and graph the solution -3 -3 -3 | 2 | –8 | 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 5

2-8: Absolute Value Inequalities 11/30/2018 Example 6 Solve and graph the solution | 2 | -5 | –9/2 | -4 | 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 6

2-8: Absolute Value Inequalities 11/30/2018 Example 7 Solve and graph the solution 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

Example 8 11/30/2018 Solve

2-8: Absolute Value Inequalities Example 8 11/30/2018 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

2-8: Absolute Value Inequalities 11/30/2018 Example 10 Solve 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

2-8: Absolute Value Inequalities Example 11 11/30/2018 Solve and graph the solution | No Solution 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

2-8: Absolute Value Inequalities 11/30/2018 Your Turn Solve and graph the solution -2 -2 All Real Numbers 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

2-8: Absolute Value Inequalities 11/30/2018 Example 12 Solve and graph the solution | All Real Numbers 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities 13

2-8: Absolute Value Inequalities Your Turn 11/30/2018 Solve and graph the solution on a number line | 4/3 6 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities

2-8: Absolute Value Inequalities 11/30/2018 Example 10 Solve 11/30/2018 7:59 PM 2-8: Absolute Value Inequalities