Translate the following inference to logic notation: For all x, y will write a letter or y will not cook. For all x, if y writes a letter, then y is reading a book. For all x, y will cook and y will climb a mountain. Therefore for all x, y will read a book.
forall x: P(x) or ~Q(x). forall x: P(x) -> R(x). forall x: Q(x) and S(x). Therefore forall x: R(x).