Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.2 - Set Operations - Exercises - Page 137: 45

Answer

Done below.

Work Step by Step

Each element of $A$ can be found within $A \cup B$. Since $A$ is infinite, there is then no possibility that $A \cup B$ is finite. Hence $A \cup B$ is infinite.
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