Question

(a) Let the statement, ∀x∈R,∃y∈R G(x,y), be true for predicate G(x,y). For each of the following...

(a) Let the statement,

∀x∈R,∃y∈R G(x,y), be true for predicate G(x,y).

For each of the following statements, decide if the statement is certainly true, certainly false,or possibly true, and justify your solution.

1

(i)

G(3,4)

(ii)

∀x∈RG(x,3)

(iii)

∃y G(3,y)

(iv)

∀y¬G(3,y)(v)∃x G(x,4)

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