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: 27

Answer

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

The value of $x$ is between 4 and 6, including 4 but not 6. Since the lower limit 4 is included in the set, an open bracket will be used. The upper limit 6 is not included in the set, so a close parenthesis will be used. Thus, the interval notation equivalent of the given inequality is: $[4, 6)$ To graph this interval on a number line, plot a solid dot at 4 and a hollow dot (or hole) at 6. Then, shade the region between them. Refer to the attached image in the answer part above for the graph.
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