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: 104

Answer

A = {1,2,3,) B= {4,6} Cardinal number of A is n(A) =3 Cardinal Number of B is n(B) =2 n(A) $\ne$ n(B) the given sets are not equivalent and the individual elements in A and B are not same so they are not equal also So the two sets are neither equivalent nor equal.

Work Step by Step

The two sets are neither equivalent nor equal. Equivalent-two sets having same cardinal number. Equal- two sets having the same cardinal number and all the individual elements are also same. A = {1,2,3,) B= {4,6} Cardinal number of A is n(A) =3 Cardinal Number of B is n(B) =2 Therefore n(A) $\ne$ n(B) the given sets are not equivalent and the individual elements in A and B are not same. Therefore A and B sets are neither equivalent nor equal.
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