Translate the following inference to logic notation: There is at least one x for which y_2 is a cashier or y_2 is a nurse. For all x, if y_2 were a nurse, then y_2 is playing a game. For all x, if y_2 were a cashier, then y_2 is playing a game. For all x, y_2 will listen to a song. Therefore there is at least one x for which y_2 will play a game.
exists x: P(x) or Q(x). forall x: Q(x) -> R(x). forall x: P(x) -> R(x). forall x: S(x). Therefore exists x: R(x).