2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55 are novels you have read as well. How many have neither of you read?

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2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55 are
novels you have read as well. How many have neither of you read?
Transcribed Image Text:2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55 are novels you have read as well. How many have neither of you read?
Expert Solution
Step 1

Let us denote :

A= number of novels read by me

B= number of novels read by sister

Given that n(A)=175, n(B)=190, n(A and B)=55 

Using the union formula:

n(A or B)=n(A)+n(B)-n(A and B)=175+190-55=310

This means 310 novels are read by either me or my sister.

 

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