Question

For the set A = {1, 2, 3}, define a relation R in the set A as follows: R = {(1, 1), (2, 2), (3, 3), (1, 3)}. Write the ordered pairs to be added to R to make it the smallest equivalence relation.

Answer 1

(3, 1) is the single ordered pair which needs to be added to R to make it the smallest equivalence relation.