Consider the following predicates, where the domain of all variables is the…

Consider the following predicates, where the domain of all variables is the set of integers.

Pm: m2 > −1

Qm: m2 − 6m + 8 = 0

Rm, n: m2 = n

Which of the following statements is TRUE?

  1. A.

    ∀m [Qm ∧ Pm]

  2. B.

    ∀m Pm ∧ ∃n Qn

  3. C.

    ∀n ∀m [Pm → Rm, n]

  4. D.

    Both ∀m [Qm ∧ Pm] and ∀n ∀m [Pm → Rm, n]

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