Translate the following inference to logic notation: For all x, x_9 is a scientist if and only if x_9 will play squash. There is at least one x for which x_9 is a scientist if and only if x_9 will drive a car. For all x, x_9 will drive a car or x_9 will play squash. Therefore there is at least one x for which x_9 is a scientist.
forall x: P(x) <-> Q(x). exists x: P(x) <-> R(x). forall x: R(x) or Q(x). Therefore exists x: P(x).