Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.1 Basic Set Concepts - Exercise Set 2.1: 101

Answer

A = {1,2,3,4) B= {5,6,7,8} Cardinal number of A is n(A) =4 Cardinal Number of B is n(B) =4 Therefore, the given sets are equivalent but the elements in A and B are different. Therefore A and B sets are equivalent but not equal.

Work Step by Step

We need to show that the two sets are equivalent but not equal. As we know equivalent is the two sets having the same cardinal number and the equal is the two sets having same cardinal number and all the individual are also same. A = {1,2,3,4} B={5,6,7,8} The cardinal number of A = 4= the cardinal number of B. Therefore the given sets are equivalent but not equal because the elements are different of A and B. Therefore the two sets are equivalent but not equal.
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