If A and B
are two sets, then
Prove that (AUB)' = A' nB'
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Answer:
=(A∪B
′
)∩(A
′
∩B)
=(A∪B
′
)∩(A∪B
′
)
′
(by De Morgan's Law)
=X∩X
′
where X=A∪B
′
=ϕ
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