In a factory 70% of the workers like oranges 64% like apples .if x% like both oranges and apples then

Answers (1)

Solution: Let the total numberof workers be 100 . A , the set of workers who like orange and B, the set of workers who like apples.

So, \ n(A)=70, n(B)=64, n(Acap B)=x

Also

n(Acup B)leq 100\ \Rightarrow n(A)+n(B)-n(Acap B)leq 100\ \Rightarrow 70+64-xleq 100Rightarrow xgeq 34

Since

\ n(Acap B)leq n(B)Rightarrow xleq 64\ \Rightarrow 34leq xleq 64

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