In a survey of 111 pet owners, 16 said they own a dog, and 54 said they own a cat. 8 said they own both a dog and a cat. How many owned neither a cat nor a dog?

MATLAB: An Introduction with Applications
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In a survey of 111 pet owners, 16 said they own a dog, and
54 said they own a cat. 8 said they own both a dog and a
cat. How many owned neither a cat nor a dog?
Transcribed Image Text:In a survey of 111 pet owners, 16 said they own a dog, and 54 said they own a cat. 8 said they own both a dog and a cat. How many owned neither a cat nor a dog?
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Step 1

The total number of pet owner is n=111.

Let D denotes the set that contains dog owners and C denotes the set that contains cat owners. Given that n(D)=16, n(C)=54, nDC=8.

If A is a set, then n(A) denotes the number of elements of the set A.

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