Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 1 - Speaking Mathematically - Exercise Set 1.2: 4

Answer

a. Yes. b. 1 c. 2 d. Yes. e. No.

Work Step by Step

a. Two is an element of the set containing two. b. The number of unique elements in the set is one. c. Because 0 and {0} are not the same thing (a number versus a set containing a number), there are two distinct elements in the set. d. The set {0} is an element of the set containing the sets {0} and {1}. e. 0 is an element of {0}, but 0 is not an element of {{0}, {1}}.
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