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