WOLFRAM|DEMONSTRATIONS PROJECT

Number Line Solutions to Absolute Value Equations and Inequalities

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≤
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right hand side
2
middle value
0
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The solutions to absolute value equations and inequalities often involve compound inequalities using "and" and "or" statements. The rules regarding whether to use "and" or "or" are often memorized without a visual understanding of how absolute value equations and inequalities can be thought of in terms of distances on a number line. This Demonstration is designed to help convey the visual interpretation of the solutions to these equations and inequalities without relying on the memorization of rules regarding the use of "and" or "or" to build the solution sets.