1.

(A INTERSECTION B')' UNION (B INTERSECTION C)​

Answer»

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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