Question

Given the relation on R = {(a, b), (b, c)} in the set A = {a, b, c} Then the minimum mumber of ordered pairs which added to R make it an equivalence relation is

(a) 5

(b) 6

(c) 7

(d) 8

Answer 1

The correct option (c) 7

Explanation:

R is reflexive if (a, a), (b, b), (c, c) ∈ R

If (b,a) , (c, b) ∈ R, then R is symmetric

Now if (c, a), (a, c) R then R is transitive