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Basic Maths/Stats help??
Is (A ∪ B) ∩ (A complement ∪ B) just B? since A and A complement cancel out?
1 Answer
- 5 years agoFavorite Answer
Yes (A ∪ B) ∩ (A complement ∪ B) = B.
Although I'm not sure about how sound the idea of A and A complement cancelling out is .
Informally I reason as follows: It is clear that B is contained in the intersection. Also it is fairly clear that if B was not the whole intersection then A∩(A complement) would have to be not empty, which is a contradiction. So B is the whole intersection.