Question

n(A) =10 and n(A intersection B) =3,find n((A intersection B)' intersection A)

Answer 1

Step-by-step explanation:

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Answer 2

Given:  n(A) =10 and n(A intersection B) =3

To Find:  n((A intersection B)' intersection A)

Solution:

According to De Morgan's first law, the complement of the union of two sets A and B is equal to the intersection of the complement of the sets A and B.

Where A' denotes the complement.

It can be represented as (A ∪ B)' = A' ∩ B'.

n(A U B) = 10

n( A ∩ B) = 3

Therefore, n((A intersection B)' intersection A)

= 10-3

= 7

Therefore, n((A intersection B)' intersection A) is 7.

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