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For any two sets A and B prove that (A-B) U (B-A) = (A (union) B) - (A (intersection) B)

For any two sets A and B prove that
(A-B) U (B-A) = (A (union) B) - (A (intersection) B)

Grade:10

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
Dear Student,

This questions is very easy if you understand it by venn diagram.
(A-B) is region in A which is not in B. and therefore (A-B)U(B-A) will be the region of A which is not in B and region in B which is not in A. And this is same as(A (union) B) - (A (intersection) B).

Thanks.

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