## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.1 Basic Set Concepts - Exercise Set 2.1 - Page 59: 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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