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: 39


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

Work Step by Step

The conjunction "or" means union. Recall: The union of sets $A$ and $B$, denoted by $A\cup B$, is the set that contains the combined elements of $A$ and $B$. $x\ge-2$ includes all real numbers greater than or equal to $-2$. In interval notation, the set is $[-2, \infty).$ $x\le4$ includes all real numbers less than or equal to $4$. In interval notation, the set is $(-\infty, 4].$ Thus, the union of the two given sets is $[-2, \infty) \cup (-\infty, 4]$, which when simplified becomes $(-\infty, +\infty)$. To graph this solution set, shade tge entire number line Refer to the graph above.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.