## How to Solve Absolute Value Inequalities | Sciencing

Free absolute value inequality calculator - solve absolute value inequalities with all the steps. Type in any inequality to get the solution, steps and graph. Absolute Value Inequalities are inequalities in which there is one or more absolute value. Let us recall that an inequality is almost like an equation, but instead of the "=" sign, we have "≤" or "≥". This difference makes it so that the solution set is typically a region, like for most inequalities. Absolute-Value Inequalities. The other case for absolute value inequalities is the "greater than" case. Let's first return to the number line, and consider the inequality | x | > 2. The solution will be all points that are more than two units away from zero. For instance, –3 will work, as will 3; –4 will work.

## Solve Absolute Value Inequalities - Mathematics LibreTexts

Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Decimal to Fraction Fraction to Decimal. Absolute Value Inequalities Calculator Solve absolute value inequalities, step-by-step. Correct Answer :. Let's Try Again :. Try to further simplify. Last post, we learned how to solve rational inequalities.

In this post, we will learn applications absolute value inequalities to solve absolute value Last post we talked about absolute value inequalities with one absolute value expression.

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### Absolute Value Inequalities Calculator - Symbolab

Solving absolute value equations and inequalities. The absolute number of a number a is written as. $$\left | a \right |$$. And represents the distance between a and 0 on a number line. An absolute value equation is an equation that contains an absolute value expression. The equation. \left | . Solving absolute value inequalities is a lot like solving absolute value equations, but there are a couple of extra details to keep in mind. It helps to already be comfortable solving absolute value equations, but it's okay if you're learning them together too! Absolute-Value Inequalities. The other case for absolute value inequalities is the "greater than" case. Let's first return to the number line, and consider the inequality | x | > 2. The solution will be all points that are more than two units away from zero. For instance, –3 will work, as will 3; –4 will work.