Problem 2 let r be a relation on r defined as follows: for all x, y er, (x, y) r if and only
if ? > y?
(a) (8 points) is r reflexive, symmetric, antisymmetric, or transitive? for each of these ques-
tions, if the answer is positive, justify it as best you can; otherwise, give a counterexample.
(b) (2 points) is r a partial order relation? explain why.