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: 41

Answer

$(-\infty,5]$. The graph is shown below.

Work Step by Step

The given compound inequality is $x\leq5$ or $x\leq1$. First graph then take the union of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x\leq5$ as $(-\infty,5]$ and $x\leq1$ as $(-\infty,1]$ The union is $(-\infty,5]\cup(-\infty,1]=(-\infty,5]$.
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