## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 140

#### Answer

$164$ owned cats or dogs.

#### Work Step by Step

If $A$ is the set of people who owned cats, and $B$ is the set of people who owned dogs, then: $n(A)=96$ people owned cats. $n(B)=97$ people owned dogs. $n(A\cap B)=29$ people owned cats and dogs. $n(A\cup B)=?$ people who owned cats or dogs. The formula for the cardinality of the union of two sets: $n(A\cup B)=n(A)+n(B)-n(A\cap B)$ $n(A\cup B)=96+97-29=164$ $164$ owned cats or dogs.

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