College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 127: 30


Refer to the image below for the graph.

Work Step by Step

The value of $x$ is less than or equal to 5. Since the upper limit 5 is included in the set, a close bracket will be used. The inequality is unbounded on the left side, so $-\infty$ will be used. Thus, the interval notation equivalent of the given inequality is: $(-\infty, 5]$ To graph this interval on a number line, plot a solid dot at 5. Then, shade the region to its left. Refer to the attached image in the answer part above for the graph.
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