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Mathematics Add in library

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Question1 Identify the domain(s)and all the quantifiers and predicate sthey quantify in the following propositions and determine the truth values of the propositions. . (a) ∀x ∈ R,x2 > x (b) ∀x ∈ {1,2,3,4,5},x − 1 > 0 (c) ∀x ∈ R,∃y ∈ R,y2 > x (d) ∃y ∈ R,∀x ∈ R,y2 > x. Question2 Provethat for all integers n and m, nm isanevennumberifandonlyif n or m iseven.

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