Translate the following inference to logic notation: For all x, if x_8 were rich, then x_8 is listening to a song. For all x, if x_8 were rich, then x_8 is listening to a song. For all x, if x_8 listens to a song, then x_8 is rich. Therefore if David were rich, then David is listening to a song.
forall x: P(x) -> Q(x). forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). Therefore P(a) -> Q(a).