Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.1 - Algebraic Expressions, Real Numbers, and Interval Notation - Exercise Set: 66

Answer

$\left\{x | -2 \lt x \le 4\right\}$ Refer to the attached image below for the graph.
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Work Step by Step

A parenthesis on the left means that $-2$ is not included in the set. A bracket on the right means that $4$ is included in the set. Therefore, the set-builder form of the given interval is: $\left\{x | -2 \lt x \le 4\right\}$ To graph the interval, plot a hole (or hollow dot) at $x=-2$ and a solid dot at $x=4$. Then, shade the region between them. (refer to the attached image in the answer part for the graph)
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