Translate the following inference to logic notation: For all x, x_5 will play tennis if and only if x_5 will go running. For all x, if x_5 drinks water, then x_5 is taking a plane. For all x, if x_5 takes a plane, then x_5 is playing tennis. For all x, x_5 will drink water or x_5 will go running. Therefore for all x, x_5 will play tennis.
forall x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> P(x). forall x: R(x) or Q(x). Therefore forall x: P(x).