Translate the following inference to logic notation: For all x, if x_8 were a writer, then x_8 is listening to a song. For all x, x_8 will cook and x_8 is happy. For all x, x_8 is a writer. Therefore for all x, x_8 will listen to a song.
forall x: P(x) -> Q(x). forall x: R(x) and S(x). forall x: P(x). Therefore forall x: Q(x).