Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.6 - Set Operations and Compound Inequalities - 1.6 Exercises - Page 108: 3

Answer

False

Work Step by Step

Recall: The union of sets A and B is the set that contains the combined elements of the two sets. $(-\infty, 7)$ contains all the real numbers that are less than $7$. $(7, \infty)$ contains all the real numbers that are greater than $7$. Thus, $(-\infty, 7) \cup (7, \infty) \ne \left\{7\right\}$ Hence, the given statement is false.
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