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 - Review Exercises - Page 98: 16


Set-builder notation: $\left\{x | -2 \lt x \le 3\right\}$ Refer to the image below for the graph

Work Step by Step

A parenthesis on the left means that the number $-2$ is not included in the set. A bracket on the right end means that 3 is included in the set. Thus, the set includes all real numbers greater than -2 and not more than 3. Therefore, the set-builder notation equivalent of the given interval is: $\left\{x | -2 \lt x \le 3\right\}$ Recall, when graphing an inequality on a number line, a filled in circle indicates that the number is a solution to the inequality while a circle that is not filled in indicates that a number is not a solution to the inequality.
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