Translate the following inference to logic notation: For all x, x_8 is happy and x_8 will work. For all x, x_8 will cook or x_8 is a cashier. For all x, if x_8 cooks, then x_8 is taking a plane. For all x, if x_8 were a cashier, then x_8 is taking a plane. Therefore for all x, x_8 will take a plane and x_8 is happy.
forall x: P(x) and Q(x). forall x: R(x) or S(x). forall x: R(x) -> T(x). forall x: S(x) -> T(x). Therefore forall x: T(x) and P(x).