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: 45

Answer

$(-\infty,-1)\cup[2,\infty)$. The graph is shown below.

Work Step by Step

The given compound inequality is $x\geq2$ or $x\lt-1$. First graph then take the union of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x\geq2$ as $[2,\infty)$ and $x\lt-1$ as $(-\infty,-1)$ The union is $(-\infty,-1)\cup[2,\infty)$.
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