Determine if completeness and transitivity are satisfied for the following preferences defined on x = (x1, x2) and y = (y1, y2). (Hints: 1- You have to use z = (z1, z2) to prove or disprove transitivity. 2- You can disprove by a counter example) x y iff x1 > y1 or x1 = y1 and x2 > y2.

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