Translate the following inference to logic notation: For all x, if y drives a car, then y is listening to a song. For all x, if y reads a book, then y is driving a car. For all x, if y listens to a song, then y is reading a book. Therefore if Richard drives a car, then Richard is listening to a song.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: Q(x) -> R(x). Therefore P(a) -> Q(a).