Translate the following inference to logic notation: For all x, if x_4 were excited, then x_4 is writing a letter. For all x, if x_4 cooks, then x_4 is writing a letter. For all x, x_4 will cook or x_4 is excited. Therefore Karen is writing a letter.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: R(x) or P(x). Therefore Q(a).