Translate the following inference to logic notation: For all x, x_11 is a nurse if and only if x_11 will listen to a song. For all x, if x_11 drives a car, then x_11 is listening to a song. There is at least one x for which if x_11 were a nurse, then x_11 is driving a car. Therefore there is at least one x for which if x_11 drives a car, then x_11 is listening to a song.
forall x: P(x) <-> Q(x). forall x: R(x) -> Q(x). exists x: P(x) -> R(x). Therefore exists x: R(x) -> Q(x).