This question is easy by checking just one property . but first see what we need .
for equivalence relation(RST PROPERTIES) , we need to check 3 properties
- REFLEXIVE
- SYMMETRIC
- TRANSITIVE as we can see it is not reflexive bcz, (x,y) is not related to (x,y) . so by just checking this we can say it is not equivalence. it is also not symmetric . bcz number can either be greater or lesser one at a time ..
for partial order relation (RAT PROPERTIES) , we need to check 3 properties
- REFLEXIVE
- ANTISYMMETRIC
- TRANSITIVE
as we have already seen relation is not reflexive hence it not partial order relation .
we know , every total order is partial order but relation is not partial then also not total ..