Translate the following inference to logic notation: There is at least one x for which x_8 will take a plane if and only if x_8 is a politician. For all x, x_8 is a politician or x_8 will not play a game. For all x, x_8 will take a plane or x_8 will play a game. Therefore there is at least one x for which x_8 is a politician.
exists x: P(x) <-> Q(x). forall x: Q(x) or ~R(x). forall x: P(x) or R(x). Therefore exists x: Q(x).