## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 94

43

#### Work Step by Step

Given, number of elements in set A i,e, n(A) = 30 number of elements in set B i.e. n(B) = 18 The common elements of both sets is n(A∩B) = 5. Formula for cardinal number of union of set is: n(A∪B) = n(A)+n(B) - n(A∩B) =30+18 -5 =48-5 =43 n(A∪B) = 43

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