College Algebra 7th Edition

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

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises - Page 16: 58

Answer

$(-5, 2)$ Refer to the image below for the graph.

Work Step by Step

The inequality means "x is between -5 and 2." This inequality includes all numbers that are between than $-5$ and $2$ but does not include $-5$ and $2$.. The $\lt$ to the left of $x$ means that a parenthesis will be used. The $\lt$ to the right of $x$ means that a parenthesis will be used. Thus, the equivalent interval notation of the given inequality is: $(-5, 2)$ To graph this interval, plot holes (hollow dots) at $-5$ and $2$ then shade the region between them. (refer to the attached image in the answer part above)
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