3) Write the following English statements using the following predicates and any needed quantifier. The domain of all variables are all people associated with the university:

S(x): x is a student

F(x): x is a faculty member

A(x,y): x has asked y a question

a) Every student has asked Dr. Han a question

b) Some students has not asked any faculty member a question

c) There are at least two students who have asked every faculty member a question

d) There is a faculty member who has asked every other faculty member a question