Discrete structures

Question

If {{a, c, e}, {b, d, f}} is a partition of the set A = {a, b, c, d, e, f}, determine the

corresponding equivalence relation R.

Answer 1

The partition is comprised of two subsets of A. In each subset, all of the elements are related to each other. Hence, a R c (i.e. a is related to c), a R e, and c R e. In the same way, b R d, b R f, and d R f.