Translate the following inference to logic notation: For all x, x will read a book or x is not a bartender. For all x, if x reads a book, then x is a bartender. Therefore for all x, x will read a book if and only if x is a bartender.
forall x: P(x) or ~Q(x). forall x: P(x) -> Q(x). Therefore forall x: P(x) <-> Q(x).