Suppose that R is an equivalence relation on a set A with elements x, y, and z, and supp...

Suppose that R is an equivalence relation on a set A with elements x, y, and z, and suppose that z is in both the equivalence class of x and the equivalence class of y. Use Theorem 3.2.2 to explain why

(a) x and y are related.

(b) the classes of x, y, and z are all equal.