Translate the following inference to logic notation: For all x, x_9 will cook if and only if x_9 is a politician. For all x, if x_9 were a nurse, then x_9 is cooking. For all x, x_9 is a politician or x_9 is a nurse. For all x, if x_9 were a sailor, then x_9 is making tea. For all x, x_9 is a sailor. Therefore for all x, x_9 will make tea and x_9 will cook.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). forall x: Q(x) or R(x). forall x: S(x) -> T(x). forall x: S(x). Therefore forall x: T(x) and P(x).