Translate the following inference to logic notation: For all x, z_2 will play a game if and only if z_2 will listen to a song. For all x, if z_2 plays a game, then z_2 is driving a car. For all x, if z_2 drives a car, then z_2 is playing a game. For all x, z_2 will not listen to a song. Therefore for all x, z_2 will not drive a car.
forall x: P(x) <-> Q(x). forall x: P(x) -> R(x). forall x: R(x) -> P(x). forall x: ~Q(x). Therefore forall x: ~R(x).