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: 3

Answer

a. No. b. 3 c. 3

Work Step by Step

a. These are not equivalent for the same reason that a shoe is not the same thing as a box containing a shoe. b. The number of elements in a set (called the cardinality of a set) is given by the number of unique elements in a set. c. Using the shoebox analogy, this set is a box containing (1) a shoe, (2) another box containing a shoe, and (3) another box containing a shoe and a box with a shoe in it.
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