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If ξ is the universal set and P is a subset of ξ, then what is P ∩ { (P– ξ) ∪ (ξ– P)} equal to

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If ξ is the universal set and P is a subset of ξ, then what is P ∩ { (P– ξ) ∪ (ξ– P)} equal to

(a) ϕ 

(b) P′ 

(c) ξ 

(d) P

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(a) ϕ

Given set = P ∩ {( P – ξ) ∪ ( ξ – P)} 

= P ∩ {ϕ ∪ P′} 

= P ∩ P′ = ϕ

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