Translate the following inference to logic notation: For all x, x_8 will make tea if and only if x_8 will play a game. For all x, x_8 will not play a game. For all x, x_8 will make tea or x_8 will not cook. Therefore for all x, x_8 will not cook.
forall x: P(x) <-> Q(x). forall x: ~Q(x). forall x: P(x) or ~R(x). Therefore forall x: ~R(x).