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 2.1 - Sets - Exercises - Page 125: 8

Answer

a) no b) no c) yes d) yes e) yes f) no

Work Step by Step

a and b) This is a set of integers. Since none of the elements of the set are sets, $\{2\}$ cannot be an element. c-e) $\{2\}$ is listed in the elements of each of these sets f) Although $\{\{2\}\}$ is an element, this is not the same as $\{2\}$. So $\{2\}$ is not an element of the set.
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