Translate the following inference to logic notation: For all x, if x_8 works, then x_8 is a writer. For all x, x_8 is a mechanic or x_8 will work. For all x, if x_8 were a mechanic, then x_8 is a writer. For all x, if x_8 drives a car, then x_8 is a scientist. For all x, x_8 will drive a car. Therefore for all x, x_8 is a scientist and x_8 is a writer.
forall x: P(x) -> Q(x). forall x: R(x) or P(x). forall x: R(x) -> Q(x). forall x: S(x) -> T(x). forall x: S(x). Therefore forall x: T(x) and Q(x).