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Define relations 􏰆, 􏰅 ⊆ E2 × E as follows: ((X, Y), Z) ∈ 􏰆 if and only if there is x ∈ X and y ∈ Y such that x + y ∈ Z (

Posted: Tue Jul 12, 2022 12:44 pm
by answerhappygod
Definerelations 􏰆, 􏰅 ⊆ E2 × E asfollows:((X, Y), Z) ∈ 􏰆 if and only if thereis x ∈ X and y ∈ Y suchthat x + y ∈ Z
((X, Y), Z) ∈ 􏰅 if and only if thereis x ∈ X and y ∈ Y suchthat xy ∈ Z (i) Show that 􏰆 is afunction.
(ii) Show that 􏰅 is a function.