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Determine whether the given statement is true or false. Explain your answer. (a) If R is...

Determine whether the given statement is true or false. Explain your answer.

(a) If R is an antisymmetric relation, then R is not symmetric.

(b) If John Jay College was founded in 1997, then the moon is made of cheese. (

c) ∀x∃y(x divides y) where the domain of discourse for both variables is {2, 3, 4, 5, 6}.

(d) ∃x∀y(x divides y) where the domain of discourse for both variables is {2, 3, 4, 5, 6}.

(e) ∀n(3n ≤ 4n) where the domain of discourse is Z.

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