Introduction to Abstract Mathematics

2. Let A 2 {53,1}, z,11,w} and R = {(11,11), (11,111), (111,11), (111,111), (56,313), (my), (11,56), (11,11), (2,2)}. (a) Prove that R is an equivalence relation on A. To show transitivity, ll in a table of the form where in each row a, b, c are such that (0,11) E R and (b, c) E R. (b) Determine equivalence classes of R