Chapter 1.5, Problem 11E

LetS(x) be predicate “xis a student,”F(x) the predicate “xis a faculty member,” andA(x,y) the predicate “xhas askedya question," where the domain consists of all people associated 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.

f) 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.