If A = {a, b, c}, then the relation R = {(b, c)} on A is
According to the question:
R={(a,a), (b,b), (c,c), (a,b), (b,c), (a,c)}
Thus R = {(b, c)} can only be transitive.
i.e (a,b)∈ R and (b,c)∈ R → (a,c)∈ R