(5 marks) Let m, n, p, q, r and s be statements. Determine whether or not the following
argument is valid.
Premise 1 r → (s ∧ n)
Premise 2 (m ∧ n) → (p ∨ q)
Premise 3 ∼ q
Premise 4 s → m
Conclusion r → p

Respuesta :

Given premise 3: ∼q

From premise 2 and premise 3, we can infer: (m ∧ n) → p

Given premise 4: s → m

From premise 1 and premise 4, we can infer: r → (s ∧ n)

From step 4 and step 3, we can infer: r → (s ∧ n) → p

Therefore, the conclusion is r → p

Thus, the argument is valid.