Question

Let A and B two sets. If n(A-B)=37,n(B-A)=25,n(AUB) =12, find n(A ∩B) ​

Answer 1

Answer:

(A- B) = 37 = A n B'

B - A) = 25 = B nA '

An B= 37 - 25

= 12

Answer 2

Answer:

Union of set A and B is ,n(AUB) = 74.

Step-by-step explanation:

here, the given question is wrong ,as n(AUB) cannot be 12 if n(A-B) and n(B-A) are 37 and 25 respectively. therefore will be as,

IfA and B two sets such that n(A-B)=37, n(B-A)=25, n(A∩B) =12, find n(AUB) .

then

n(AUB) = n(A-B) +n(B-A) +n(A∩B)

then ,substitute values given to the equation,

n(A-B)=37n(B-A)=25n(A∩B) =12

n(AUB)=37+25+12=74.

definition

B-A contains elements in A and those elements are not in B.

A-B contains elements in B and tht willnot be in B

AUB means entire elements of A and B

A∩B means elements that are in both set A and B

#SPJ3.