Solving Absolute Value Inequalities

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Presentation transcript:

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

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

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

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

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

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

In interval notation …

END OF PRESENTATION