Translate the following inference to logic notation: For all x, if x were poor, then x is reading a book. For all x, x will play tennis if and only if x will read a book. For all x, x will play tennis if and only if x is poor. Therefore for all x, x will play tennis if and only if x is poor.
forall x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: R(x) <-> P(x). Therefore forall x: R(x) <-> P(x).