Given the set a 1 2 3 and the set s x y x and y in a

Question

Given the set A = {1, 2, 3} and the set S = {(x, y) | x and y in A}. Consider the relation ≤ defined on S as follows: ((x₁, y₁) ≤ (x₂, y₂) if x₁ ≤ x₂ and y₁ ≤ y₂. Draw the directed graph of this relation. Show that it is a partial order. Explain why it is not a total order.