Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 272: 14

Answer

$\varnothing$. The graph is shown below.

Work Step by Step

The given compound inequality is $x\gt3$ and $x\lt-1$. First graph and then take the intersection of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x\gt3$ as $(3,\infty)$ and $x\lt-1$ as $(-\infty,-1)$ The intersection is $(-\infty,-1)\cap(3,\infty)=\varnothing$.
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