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: 28

Answer

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

The value of $x$ is between $-2$ and $0$, excluding $-2$ and $0$. Since the lower limit and upper limit are not included in the set, a open and close parenthesis will be used. Thus, the interval notation equivalent of the given inequality is: $(-2, 0)$ To graph this interval on a number line, plot hollow dots (or holes) at -2 and 0. Then, shade the region between them. Refer to the attached image in the answer part above for the graph.
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