Translate the following inference to logic notation: If Jennifer were a soldier, then it is late. If John plays a game, then Jennifer is a soldier. For all x, x will take a plane or x will play a game. If John takes a plane, then Jennifer is a soldier. Therefore it is late.
p -> q. P(a) -> p. forall x: Q(x) or P(x). Q(a) -> p. Therefore q.