Translate the following inference to logic notation: For all x, x_5 is poor. For all x, if x_5 were a doctor, then x_5 is taking a plane. For all x, if x_5 takes a plane, then x_5 is a doctor. For all x, if x_5 takes a plane, then x_5 is not poor. Therefore for all x, x_5 is not a doctor.
forall x: P(x). forall x: Q(x) -> R(x). forall x: R(x) -> Q(x). forall x: R(x) -> ~P(x). Therefore forall x: ~Q(x).