Please help me out with this question Work shown will be muc

Please help me out with this question. Work shown will be much appreciated

Suppose the variable x represents students and the variable y represents courses, and A(y): y is an advanced course S(x): x is a sophomore F (x): x is a freshman T (x, y): x is taking y. Write the statement using these predicates and any needed quantifiers. Remember to explain how you got each answer. There is a course that every freshman is taking. No freshman is a sophomore. Some freshman is taking an advanced course.

Solution

a. yx(F(x) T(x,y))

b. ¬x(F(x) S(x)]

c. xy(F(x) A(y) T(x,y))