Determine whether each argument is valid. If the argument is valid, give a proof using the laws of logic. If the argument is invalid, give values for the predicates P and Q over the domain a, b that demonstrate the argument is invalid.∀x (P(x) ∨ Q(x))∴ ∀x Q(x) ∨ ∀x P(x)

SOLVED:Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs? a) If n is a real number such that n>1, then n^2>1. Suppose that n^2>1. Then n>1. b) If n is a real number with n>3, then n^2>9. Suppose that n^2 ≤9 . Then n ≤3. c) If n is a real number with n>2, then n^2>4. Suppose that n ≤2 . Then n^2 ≤4.

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