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Solving Absolute Value Inequalities Use the following principles for solving absolute value inequalities: 1) If Then 2) If Then (less than) (greater than)
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Memory Hints Less Than – Less Than or Equal (<, ≤) Write the sentence again, only without the absolute value sign … … and then finish …
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Memory Hints Greater Than – Greater Than or Equal (>, ≥) Write the sentence again, only without the absolute value sign … … and then finish …
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Example 1 Solve: … or in interval notation … Using the less than principle, we have …
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Example 2 Solve: In interval notation … Using the greater than principle, we have …
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Example 3 Solve: Using the less than principle, we have … Get the absolute value expression on a side by itself
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In interval notation …
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