Question

if A and B are two sets such as and a 70 and b is 60 and a union b is equal to 110 then what is the what is a intersection b is equal to dash

Answer 1

70+60-110=20 is the answer.

Answer 2

n(A ∩ B) = 20 is the required answer.

Given,

n(A) = 70

n(B) = 60

n(A ∪ B) = 110

To Find,

n(A ∩ B)

Solution,

According to sets formula -

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

here, n(A) represents number of elements in set A

n(B) represents number of elements in set B

n(A ∪ B) represents total number of elements in set A and set B

n(A ∩ B) represents number of elements in set A and set B both

110 = 70 + 60 - n(A ∩ B)

n(A ∩ B) = 70 + 60 - 110

n(A ∩ B) = 130 - 110

n(A ∩ B) = 20

Hence, the required answer is 20.

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