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in Sets, Relations and Functions by (30.2k points)
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In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is 

A. 80% 

B. 40% 

C. 60% 

D. 70%

1 Answer

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by (28.9k points)
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Best answer

Let A be the set of population travels by car(in percentage) and 

B be the set of population travels by bus(in percentage). 

Then A⋂B is the set of population travels by car and bus and 

A⋃B is the set of population travels by car or bus. 

Then,n(A) = 20 , (B) = 50 ,n(A⋂B) =10 

n(A⋃B) = n(A) + n(B) - n(A⋂B) 

= 20 + 50 - 10 

= 60 

∴ The set of population travels by car or bus is 60%

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