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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