Translate the following inference to logic notation: For all x, y is excited if and only if y will listen to a song. For all x, y is excited or y will drive a car. For all x, y will not listen to a song. Therefore for all x, y will drive a car.
forall x: P(x) <-> Q(x). forall x: P(x) or R(x). forall x: ~Q(x). Therefore forall x: R(x).