Answer :

| Let us define a relation R in R as

R = {(a,b) : a3 ≥ b3}


It is clear that (a,a) ϵ R as a3 = a3


R is reflexive.


Now, (2,1) ϵ R


But (1,2) R


R is not symmetric.


Now, let (a,b) (b,c) ϵ R


a3 b3 and b3 c3


a3 c3


(a,c) ϵ R


R is transitive.


Therefore, relation R is reflexive and transitive but not symmetric.


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