Intermediate Algebra for College Students (7th Edition)

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

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 274: 93


False. Sample change: $(-\infty,3) \cup (-\infty,-2) = (-\infty,3)$

Work Step by Step

The given statement is: $(-\infty,3) \cup (-\infty,-2) = (-\infty,-2)$ This statement is false because the union of the two regions goes up to the value $3$, not the value $-2$ (which would be the intersection). We fix the statement as follows: $(-\infty,3) \cup (-\infty,-2) = (-\infty,3)$
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