Mica goes swimming only if Nicole lifeguards. Pedro is free on the condition that Ona goes to the beach. Mica goes swimming unless Ona goes to the beach. Nicole doesn't lifeguard. So, either Pedro is free or Mica goes swimming.
-Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
A) M
B) ∼M
C) N
D) O
E) ∼O

Question

Quizplus · Accepted Answer

Given that Nicole doesn't lifeguard (¬N), and since Mica goes swimming only if Nicole lifeguards (M → N), it follows directly by modus tollens that Mica does not go swimming (¬M).

Mica Goes Swimming Only If Nicole Lifeguards