LetS(x)be the predicate “x is a student,”F(x)the predicate “x is a faculty member,” and A(x, y)the predicate “x has asked y a question,” where the domain consists of

all people associated with your school. Use quantifiers to express each of these statements.

d) Some student has not asked any faculty member a question.

Why isn't the answer to this question, "$\displaystyle \exists x \forall y ((S(x) \wedge F(x)) \implies \neg A(x,y))$?