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: 37

Answer

$[-2, \infty)$ Refer to the graph below.
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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 $[-2, +\infty).$ $x\ge5$ includes all real numbers greater than or equal to $5$. In interval notation, the set is $[5, +\infty).$ Thus, the union of the two given sets is $[-2, +\infty) \cup [5, +\infty)$, which when simplified becomes $[-2, \infty)$. To graph this solution set, plot a solid dot at $-2$ then shade the region to its right. Refer to the graph above.
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