Answer :

It is given that R = {(a, b): a ≤ b},

It is clear that (a, a) ϵ r as a = a.


Therefore, R is reflexive.


Now let us take (2,4) ϵ R (2 < 4)


But, (4,2) Ras 4 is greater than 2.


Therefore, R is not symmetric.


Now, let (a, b), (b, c) ϵ R


Then, a ≤ b and b ≤ c


a c


(a, c) ϵ R


Therefore, R is a transitive.


Therefore, R is reflexive and transitive but not symmetric.


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