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If A and B are two subsets of the universal set U, then (A - B) union (B - A) union (A complement intersection B complement) equals:

1. A complement union B complement
2. (A union B) complement
3. empty set
4. U (where U is universal set and A and B are subsets of U)

Correct answer: A complement union B complement

Solution

(A-B)u(B-A)u(A'*B') = {only in A} u {only in B} u {neither in A nor B} = U minus {in both A and B} = (A intersection B)' = A' union B' by De Morgan's law.

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