Translate the following inference to logic notation: For all x, x_7 will not cook. For all x, if x_7 plays tennis, then x_7 is cooking. For all x, x_7 will take a plane if and only if x_7 will play tennis. Therefore for all x, x_7 will not take a plane.
forall x: ~P(x). forall x: Q(x) -> P(x). forall x: R(x) <-> Q(x). Therefore forall x: ~R(x).