Answer to Question #325071 in Discrete Mathematics for Shayan

Question

Suppose the universe of discourse for x is the set of all FSU students, the universe of discourse for y is the set of courses offered at FSU, A(y) is the predicate “y is an advanced course,” F(x) is “x is a freshman,” T(x, y) is “x is taking y,” and P(x, y) is “x passed y.” Use quantifiers to express the statements

(1)   No student is taking every advanced course.

(2)   Every freshman passed calculus.

(3)   Some advanced course(s) is(are) being taken by no students.

(4)   Some freshmen are only taking advanced courses.

(5)   No freshman has taken and passed linear algebra.