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: 44

Answer

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

Work Step by Step

The given compound inequality is $x\lt3$ or $x\geq-1$. First graph then take the union of the two inequality. The graph is shown in the image file. We can write the compound inequality. $x\lt3$ as $(-\infty,3)$ and $x\geq-1$ as $[-1,\infty)$ The union is $(-\infty,3)\cup[-1,\infty)=(-\infty,\infty)$.
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