Quinn or Raina will be valedictorian. Quinn's being valedictorian entails that she receives an A+ in Spanish. She doesn't receive an A+ in Spanish. So, Raina is valedictorian.
-Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
A) Q
B) ∼Q
C) S ⊃ Q
D) ∼(Q ⊃ S)
E) ∼(Q $ \lor $ R)

Question

Quizplus · Accepted Answer

Given that Quinn's being valedictorian entails receiving an A+ in Spanish and she doesn't receive an A+, it directly follows that Quinn cannot be the valedictorian, represented as ∼Q.

Quinn or Raina Will Be Valedictorian ∨ \lor ∨ R)

Quinn or Raina Will Be Valedictorian $\lor$ R)