Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.10 Internal Notation; Solving Inequalities - A.10 Assess Your Understanding - Page A87: 28

Answer

$(-\infty,5]$ See the figure below.

Work Step by Step

Since the right boundary of the given inequality involves "less than or equal", then the interval notion will have a bracket on the right and a paranthesis on the left. Hence, the given inequality can be written as $(-\infty,5]$ To graph, plot a solid dot at $x=5$, then shade the region from 5 till its left. See the figure below.
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