Translate the following inference to logic notation: For all x, x_2 will play a game or x_2 will not listen to a song. For all x, x_2 will listen to a song or x_2 is rich. For all x, if x_2 were rich, then x_2 is playing a game. Therefore for all x, x_2 will play a game.
forall x: P(x) or ~Q(x). forall x: Q(x) or R(x). forall x: R(x) -> P(x). Therefore forall x: P(x).