# Chapter 2 - Section 2.7 - Absolute Value Inequalities - Exercise Set - Page 105: 2

$(-6,6)$

#### Work Step by Step

Since $|x|\lt c$ implies $-c\lt x\lt c,$ then the solution to the given inequality, $|x|\lt6 ,$ is equivalent to \begin{array}{l}\require{cancel} -6\lt x\lt6 .\end{array} The graph of the solution set is shown below. In interval notation, this is equivalent $(-6,6) .$

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