Answer:
R is reflexive and transitive but not symmetric.
Step-by-step explanation:
R = {(a, b); a ≤ b}
Clearly (a, a) ∈ R as a = a.
R is reflexive.
Now,
(2, 4) ∈ R (as 2 < 4)
But, (4, 2) ∉ R as 4 is greater than 2.
R is not symmetric.
Now, let (a, b), (b, c) ∈ R.
Then,
a ≤ b and b ≤ c
→ a ≤ c
→ (a, c) ∈ R
R is transitive.
Thus, R is reflexive and transitive but not symmetric.
