Translate the following inference to logic notation: For all x, x_2 will cook or x_2 is not a writer. For all x, x_2 is a scientist or x_2 is a writer. For all x, if x_2 were a scientist, then x_2 is cooking. Therefore for all x, x_2 will cook.
forall x: P(x) or ~Q(x). forall x: R(x) or Q(x). forall x: R(x) -> P(x). Therefore forall x: P(x).