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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Presentation transcript:

Solving Absolute Value Inequalities Use the following principles for solving absolute value inequalities: 1) If Then 2) If Then (less than) (greater than)

Memory Hints Less Than – Less Than or Equal (<, ≤) Write the sentence again, only without the absolute value sign … … and then finish …

Memory Hints Greater Than – Greater Than or Equal (>, ≥) Write the sentence again, only without the absolute value sign … … and then finish …

Example 1 Solve: … or in interval notation … Using the less than principle, we have …

Example 2 Solve: In interval notation … Using the greater than principle, we have …

Example 3 Solve: Using the less than principle, we have … Get the absolute value expression on a side by itself

In interval notation …