Let S(x) be the predicate "x is a student," F(x) the

Chapter 1, Problem 1.4.11

(choose chapter or problem)

Let S(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. a) Lois has asked Professor Michaels a question. b) Every student has asked Professor Gross a question.c) Every faculty member has either asked Professor Miller a question or been asked a question by Professor Miller. d) Some student has not asked any faculty member a question. e) There is a faculty member who has never been asked a question by a student. t) Some student has asked every faculty member a question. g) There is a faculty member who has asked every other faculty member a question. h) Some student has never been asked a question by a faculty member.