# Number Line Solutions to Absolute Value Equations and Inequalities

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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.

Contributed by: Eric Schulz and Laura R. Lynch (October 2007)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The show solution checkbox allows for the solution on the number line to be either hidden or shown as the problem is created with the sliders.

## Permanent Citation

"Number Line Solutions to Absolute Value Equations and Inequalities"

http://demonstrations.wolfram.com/NumberLineSolutionsToAbsoluteValueEquationsAndInequalities/

Wolfram Demonstrations Project

Published: October 16 2007