Translate the following inference to logic notation: For all x, x_4 will play a game or x_4 is not a musician. For all x, x_4 is a musician or x_4 will not play a game. Therefore for all x, x_4 is a musician if and only if x_4 will play a game.
forall x: P(x) or ~Q(x). forall x: Q(x) or ~P(x). Therefore forall x: Q(x) <-> P(x).