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 - Test - Page 101: 6


Set-builder notation: $\left\{x | -3 \le x \lt 2\right\}$ Graph:

Work Step by Step

A bracket beside $-3$ means $-3$ is included in the set. A parentheses beside $2$ means $2$ is not included in the set. Thus, in inequality notation, the set is $-3 \le x \lt 2$. In set-builder notation, this can be written as: $\left\{x | -3 \le x \lt 2\right\}$ To graph the set on a number line, plot a solid dot at $-3$ and a hole (or hollow dot) at $2$ then shade the region in between (refer to the attached image in the answer part above).
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