Translate the following inference to logic notation: For all x, if x drives a car, then x is taking a plane. For all x, x will take a plane if and only if x will drive a car. For all x, if x takes a plane, then x is a nurse. Therefore for all x, if x drives a car, then x is a nurse.
forall x: P(x) -> Q(x). forall x: Q(x) <-> P(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> R(x).