Q. 10D4.0( 27 Votes )

# Give an example o

| 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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