3. (15 pt., 3 pt. each) Let S(x) be the statement "x is a student," Px) be the statement "x is a professor," and Q(x, y) be the statement "x asked a question to y." If the domain of x and y consists of all people, express each of the following sentences in terms of S(x), Px), Q(x, y), quantifiers, and logical operators. Example: Some student has asked every professor a question. Answer. a. Every professor has been asked a question b. No professor has been asked a question by c. There is a student who has never asked a by some student. every student. question to a professor. question by exactly one student. asked each other a question. d There is a professor who has been asked a e. There are two different students who have