College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Chapter P Review - Exercises - Page 76: 19

Answer

$(-1, 5]$ Refer to the image below for the graph.
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Work Step by Step

The inequality represents the numbers that are greater than $-1$ but not more than 5. $-1$ is not included so a parentheses will be used. $5$ is included so a bracket will be used. Thus, the equivalent interval notation of the given inequality is: $(-1, 5]$ To graph the inequality, plot a hole at $-1$ and plot a solid at $5$. Then, shade the region between the two. (refer to the attached image in the answer part for the grap)
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