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: 42

Answer

$(-\infty,6]$. The graph is shown below.

Work Step by Step

The given compound inequality is $x\leq6$ or $x\leq2$. First graph then take the union of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x\leq6$ as $(-\infty,6]$ and $x\leq2$ as $(-\infty,2]$ The union is $(-\infty,6]\cup(-\infty,2]=(-\infty,6]$.
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