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: 48

Answer

Done below.

Work Step by Step

a) Each $A_i$ is contained in the next $A_{i+1}$. Hence the union is just the final term $A_n = \{\cdots, -2, -1, 0, 1, \cdots, n\}$. b) The only terms contained in all of the $A_i$ are $\cdots, -2, -1, 0, 1$. Hence the intersection is $\{\cdots, -2, -1, 0, 1\}$, i.e. $A_1$.
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