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