Translate the following inference to logic notation: For all x, x will drive a car or x is not a nurse. For all x, if x were a nurse, then x is driving a car. For all x, x will drive a car if and only if x is a nurse. Therefore for all x, x will drive a car if and only if x is a nurse.
forall x: P(x) or ~Q(x). forall x: Q(x) -> P(x). forall x: P(x) <-> Q(x). Therefore forall x: P(x) <-> Q(x).