Translate the following inference to logic notation: For all x, if x_8 works, then x_8 is listening to a song. For all x, x_8 will work or x_8 will read a book. For all x, x_8 is a server. For all x, x_8 will listen to a song if and only if x_8 will read a book. Therefore for all x, x_8 is a server and x_8 will listen to a song.
forall x: P(x) -> Q(x). forall x: P(x) or R(x). forall x: S(x). forall x: Q(x) <-> R(x). Therefore forall x: S(x) and Q(x).