Let R 1 24 33 3 be a relation on the set A 1 2 3 4 Find th

Let R = {(1, 2),(4, 3),(3, 3)} be a relation on the set A = {1, 2, 3, 4}. Find the smallest equivalence relation R0 on A such that R R.

Solution

Answer:

Let R = {(1, 2),(4, 3),(3, 3)} be a relation on the set A = {1, 2, 3, 4}

No equivalence relation R₀ exist on A such that R₀ R

Since any relation R₀ R is not a reflexive relation