(4 points) Let ? be the relation on the set of integers ? defined by ????????? means ???? ? ???? is divisible by 3.
That means ???? ? ???? = 3???? where ???? is an integer.
a. Show that ? is an equivalence relation, i.e. reflexive, symmetric, and transitive.
b. Find the equivalence classes of 0, denoted 0*.
c. Find the equivalence class of 1, denoted 1*.