Translate the following inference to logic notation: For all x, if z were poor, then z is reading a book. For all x, if z reads a book, then z is poor. For all x, z is sad if and only if z is poor. For all x, z is not sad. Therefore for all x, z will not read a book.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: R(x) <-> P(x). forall x: ~R(x). Therefore forall x: ~Q(x).