Let x ∈ { 2, 3, 4, 5} and y ∈ {12, 16, 20, 25}. Let the propositional function P(x, y) be the statement “x is a factor of y”. What is the truth value of each of the following: (i) ∀x ∃y P(x, y) (ii) ∃y ∀x P(x, y) (iii) ∀y P(4, y) (iv) ∃x P(x, 20) (v) ∀y ∃x ¬P(x, y)

P(x, y) : x is a factor of y 1) AAX exists y P(x,y) : (for every x there is a y such that x divides y)

Resuelto Let x ∈ { 2, 3, 4, 5} and y ∈ {12, 16, 20, 25}. Let

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