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1. |
Let P and Q be two sets, then what is ( P ∩ Q′) ∪ (P ∪ Q)′ equal to ? |
Answer» ( P ∩ Q′) ∪ (P ∪ Q)′ = ( P ∩ Q′) ∩ (P′ ∩ Q′) = ( P ∪ P′) ∩ (P ∪ Q′) ∩ (Q′ ∪ P′) ∩ (Q′ ∪ Q′) = ξ ∩ { Q′ ∪ (P ∩ P′)} ∩ Q′ = ξ ∩ { Q′ ∪ ξ) ∩ Q′ = ξ ∩ Q′ ∩ Q′ = ξ ∩ Q′= ξ |
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