Translate the following inference to logic notation: For all x, y is a politician or y will make tea. For all x, y will play a game or y will not work. For all x, if y were a politician, then y is working. For all x, if y makes tea, then y is playing a game. Therefore for all x, y will play a game.
forall x: P(x) or Q(x). forall x: R(x) or ~S(x). forall x: P(x) -> S(x). forall x: Q(x) -> R(x). Therefore forall x: R(x).