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Out of 14 people, twelve said that it was not the case that they watched television but did not listen to the radio. Also, for nine people it is not the case that they do not watch TV and do not listen to the radio. Finally, seven people either watch television or listen to the radio but do not do both. Noe let A be number of people that watch TV and B be the number of people that listen radio. Find A and B.
Asked by bsola6178 | 10 May, 2019, 11:45: AM
Expert Answer
Let number of people that watch TV = A and number of people that listen radio = B
According to the conditions in the given questions, we get
n(A∩B')' = 12 → n(A'υB)= 12
n(A'∩B')' = 9 → n(AυB)= 9
n(AυB) - n(A∩B) = 7
With the help of the below Venn Diagram , we will find the value of A and B.
From the above Venn Diagram A = 2 + 2 = 4 and B = 2 + 5 = 7
Therefore the number of people that watch TV is 4 the number of people that listen radio is 7.
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