Determine the truth value of each statement, assuming that x and y are real numbers. Justify your answer.
(a) ∀ x and y, x ≤ y.
(b) ∃ x and y x ≤ y.
(c) ∀ x, ∃ y x ≤ y.
(d) ∃ x ∀ y, x ≤ y.
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