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Prove that for any three sets A, B, C, ((A \ B) ∪ (B \ A)) ∩ C = ((A ∩ C) ∪ (B ∩ C)) \ (A ∩ B ∩ C).

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Prove that for any three sets A, B, C, ((A \ B) ∪ (B \ A)) ∩ C = ((A ∩ C) ∪ (B ∩ C)) \ (A ∩ B ∩ C).

Posted: Wed Jul 06, 2022 11:46 am
by answerhappygod
Prove that for any three sets A, B, C,
((A \ B) ∪ (B \ A)) ∩ C = ((A ∩ C) ∪ (B ∩ C)) \ (A ∩ B ∩ C).
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