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: 31

Answer

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

The value of $x$ is less than $-4$. Since the upper limit 4 is not included in the set, a close parenthesis 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: $(-\infty, -4)$ To graph this interval on a number line, plot a hollow dot (or a hole) at $-4$. Then, shade the region to its left. Refer to the attached image in the answer part above for the graph.
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