(A INTERSECTION B')' UNION (B INTERSECTION C)
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Step-by-step explanation:
(A∩B′)′∪(B∩C)
De Morgan's Law gives (X∩Y)′= X′∪Y′, so
= (A′∪B)∪(B∩C)
Union are associative, hence
= A′∪(B∪(B∩C)
Since (B∩C) ⊂ B ⇒ B∪(B∩C) = B
= A′ ∪B
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