Translate the following inference to logic notation: For all x, x will listen to a song or x will not drive a car. There is at least one x for which x will drive a car or x will not listen to a song. Therefore there is at least one x for which x will drive a car if and only if x will listen to a song.
forall x: P(x) or ~Q(x). exists x: Q(x) or ~P(x). Therefore exists x: Q(x) <-> P(x).