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5.5 Solving Absolute Value Inequalities 1 Students can solve and graph absolute value inequalities. Thursday, December 10, 2015 Solve the inequality: |x+7| = 8

# Students can solve and graph absolute value inequalities. 1/Notes...5.5 Solving Absolute Value Inequalities 4 When solving absolute value inequalities there are always two cases to

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5.5 ­ Solving Absolute Value Inequalities

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Students can solve and graph absolute value inequalities.

Thursday, December 10, 2015

Solve the inequality: |x+7| = 8

5.5 ­ Solving Absolute Value Inequalities

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Difference between inequalities.

AND AND

See either of these and it is like a compound inequality involving the word AND

See either of these and it is like a compound inequality involving the word OR

5.5 ­ Solving Absolute Value Inequalities

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Example.|x | < 3 |x| > 3

Says

Solutions

Graph

5.5 ­ Solving Absolute Value Inequalities

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When solving absolute value inequalities there are always two cases to consider.

Case 1: The expression inside the absolute value symbols is positive.

Case 2: The expression inside the absolute value is negative.

5.5 ­ Solving Absolute Value Inequalities

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5.5 ­ Solving Absolute Value Inequalities

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5.5 ­ Solving Absolute Value Inequalities

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|m + 2| < 11Case 1: Inequality is positive (non­negative) Case 2: Inequality is negative

0

5.5 ­ Solving Absolute Value Inequalities

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|y ­ 1| < ­2

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|n ­ 8|       2

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|2c ­ 5| < ­3

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|u + 3| < 7

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|3n + 6|       12

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|2k + 1|       7

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|r ­ 6|       ­5

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|p ­ 2| > 8

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