Question

Problem 14. Consider the relation T on the set of all undergraduate/ graduate TAs ((U)TA) for the CHE department where s1 T s2 if and only if s1 and s2 are (U)HAs for the same course.

14(a) Assuming that no one is a (U)TA for multiple courses, prove that T is an equivalence relation.

14(b) Assuming that no one is a (U)TA for multiple courses, what do the equivalence classes for T represent?

14(c) Assuming that no one is a (U)TA for multiple course, provide the members of the equivalence class corresponding to [Veronica].

14(d) Briefly explain why the assumption that no one is a (U)TA for multiple courses is necessary for T to be and equivalence relation.

Answer 1