→ R is Reflexive.
Let’s take one example for reflexive(a,b)<=>(1,1) and (c,d)<=> (2,2).
->R is not Symmetric.
Let’s take (1,2) as (a,b). for symm there is also contain (2,1) but,it’s not satisfy with condition.
so,it’s not symmetric.
->R is Antisymmetric.
if it’s not symmetric so definitely antisymmetric.
->R is Transitive.
we take (1,2) and (2,3) as (a,b) and (b,c) respectively so,for transitive it has to be (a,c) it means (1,3) .and it’s satisfy with the condition.
so,it’s transitive .
and R is reflexive,antisymmetric and transitive .
So,R is also a partial order relation.