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Verifying Absolute Value Inequalities with a Graphical Approach

Published on 03/16/2007

Activity Overview

Find the solution sets of absolute value inequalities like abs(x-3)<2 and abs(x+8)>5 using the equation editor (y=). Focus on finding the boundaries of inequality intervals.

Before the Activity

This is best considered an extension activity after practice solving algebraically absolute value inequalities.

After the Activity

Some students may be comfortable extending the activity to solving quadratic inequalities and linear absolute value inequalities. Students may be able to extend the activity to verify factoring of quadratics in conjunction with solving quadratic interval inequalities. Several extensions possible or the activity can serve as a stand-alone visual "verification" aid.