For any three non-empty sets A, B, C, what is (A ∪ B) – {(A – B) ∪ (B – A) ∪ (A ∩ B)} equal to?
A.Null set✓ Correct
B.A
C.B
D.(A ∪ B) – (A ∩ B)
Explanation
The set (A – B) ∪ (B – A) ∪ (A ∩ B) equals A ∪ B itself, because every element in A ∪ B is either only in A (A–B), only in B (B–A), or in both (A∩B). Therefore (A ∪ B) – (A ∪ B) = ∅ (null set).
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