Translate the following inference to logic notation: There is at least one x for which x will read a book if and only if x is curious. For all x, x will read a book or x is not a nurse. For all x, x is a nurse or x is curious. Therefore there is at least one x for which x will read a book.
exists x: P(x) <-> Q(x). forall x: P(x) or ~R(x). forall x: R(x) or Q(x). Therefore exists x: P(x).