Translate the following inference to logic notation: For all x, if x_8 were rich, then x_8 is a writer. For all x, if x_8 were fast, then x_8 is playing a game. For all x, if x_8 were a writer, then x_8 is fast. For all x, if x_8 plays a game, then x_8 is rich. Therefore if David were rich, then David is a writer.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: Q(x) -> R(x). forall x: S(x) -> P(x). Therefore P(a) -> Q(a).