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: 2

Answer

False

Work Step by Step

Recall: The intersection of sets A and B is the set that contains all the elements that are common to both sets. The set $\left\{x|x\ge 9\right\}$ contains all the real numbers greater than or equal to $9$. The set $\left\{x|x\le 9\right\}$ contains all the real numbers less than or equal to $9$. Note that the only common element of the two sets is $9$. Thus, the intersection of the two sets is $\left\{9\right\}$. Therefore, the given statement is false.
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