Translate the following inference to logic notation: For all x, x is poor or x is rich. For all x, x is not a nurse. There is at least one x for which x is a nurse or x will play tennis. For all x, x is not poor. Therefore there is at least one x for which x will play tennis and x is rich.
forall x: P(x) or Q(x). forall x: ~R(x). exists x: R(x) or S(x). forall x: ~P(x). Therefore exists x: S(x) and Q(x).