For each of the following preferences, indicate whether they are complete, and whether they are transitive.
(A) Among his many friends, professor B weakly prefers friend x to friend y if and only if x is at least as old as y.
(B) Among his many friends, professor B weakly prefers friend x to friend y if and only if x is at least 2 inches taller than y.
(C) Michigan's football coach weakly prefers player x to player y if and only if x is at least as heavy as y, and, also, x can run 40 yards at least as fast as y.
(D) Michigan's basketball coach weakly prefers player x to player y if x is at least as tall as y. He also weakly prefers player x toplayer player y if x can run 40 yards at least as fast as y.
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