For m, n, in N define m~n if m^2 ? n^2 is a multiple of 3.
(a.) Show that ~ is an equivalence relation on N.
(b.) List four elements in the equivalence class .
c) List four elements in the equivalence class .
(d.) Are there any more equivalence classes. Explain your answer.
Equivalence Relations and Classes are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.