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: 32

Answer

Refer to the image below for the graph.
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Work Step by Step

The value of $x$ is greater than 1. Since the lower limit 1 is not included in the set, an open parenthesis will be used. The inequality is unbounded on the right side, so $+\infty$ will be used. Thus, the interval notation equivalent of the given inequality is: $(1, +\infty)$ To graph this interval on a number line, plot a hollow dot (or a hole) at 1. Then, shade the region to its right. Refer to the attached image in the answer part above for the graph.
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