students can solve and graph absolute value inequalities. 1/notes...5.5 solving absolute value...
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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
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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
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Example.|x | < 3 |x| > 3
Says
Solutions
Graph
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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.
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|m + 2| < 11Case 1: Inequality is positive (nonnegative) Case 2: Inequality is negative
0
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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