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 109: 33

Answer

$(-\infty, +\infty)$ Refer to the graph below.

Work Step by Step

Recall: The union of sets $A$ and $B$, denoted by $A\cup B$, is the set that contains the combined elements of $A$ and $B$. The first graph represents $[1, +\infty)$. The second graph represents $(-\infty, 8]$. Thus, the union of the two given sets is $(-\infty, 8] \cup [1, +\infty)$, which when simplified becomes $(-\infty, +\infty)$. To graph this solution set, shade the entire number line. Refer to the graph above.
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