Translate the following inference to logic notation: For all x, x_8 will read a book if and only if x_8 will play a game. For all x, if x_8 were sad, then x_8 is reading a book. There is at least one x for which x_8 will make tea. For all x, x_8 is sad or x_8 will play a game. Therefore there is at least one x for which x_8 will make tea and x_8 will read a book.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). exists x: S(x). forall x: R(x) or Q(x). Therefore exists x: S(x) and P(x).