College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 45

Answer

The solution set is $(-2,2)$

Work Step by Step

$x^2<4\hspace{0.7cm}{\color{blue}{\text{Given equation}}}$ $\Rightarrow x^2-4<0$ $\Rightarrow (x-2)(x+2)<0\hspace{0.7cm}{\color{blue}{\text{Factor}}}$ The factors of the left-hand side are $x-2$ and $x+2$. These factors are zero when $x=2$ and $x=-2$. These numbers divide the real line into the intervals $(-\infty,-2),(-2,2),(2,\infty)$ From the diagram and hence the inequality involves $
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