Consider the following binary relation: Bundle (x1, x2) is weakly preferred to (y1, y2), i.e., (x1, x2) > (y1, y2) if and only if max{x1, x2} > max{y1, y2}. Show whether or not this relation is (a) complete, (b) transitive, (c) convex, (d) strictly monotonic by using the definition of each axiom.