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: 7


Set-builder notation: $\left\{x | x \le -1\right\}$ Graph:

Work Step by Step

An infinity on the left end means all the numbers to the left are included in the set. A bracket beside $-1$ means $-1$ is included in the set. Thus, in inequality notation, the set is $x \le -1$. In set-builder notation, this can be written as: $\left\{x | x \le -1\right\}$ To graph the set on a number line, plot a solid dot at $-1$ then shade the region to its left (refer to the attached image in the answer part above).
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