# Give an example o

Let a relation R in R defined as:

R = {(a,b): a<b}

For any a ϵ R, we have (a,a)) R as a cannot be strictly less than a itself.

In fact, a = a,

Therefore, R is not reflexive.

Now, (1,2) ϵ R but 2 > 1

(2,1)) R.

R is not symmetric.

Now, let (a,b), (b,c) ϵ R

a < b and b < c

a < c

(a,c) ϵ R

R is transitive.

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

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