Problem 2. For each relation, draw the arrow diagram and then indicate whether the relation is reflexive, symmetric, anti-symmetric, or transitive. No proof is needed for showing a relation has a property, but for each property the relation does not have, provide a counter-example. 2(a) The domain of relation P is (2,4,8, 16, 64). For r, y in the domain, rPy if there is a positive integer n such thaty 2(b) Consider the relation H, regarding height, on a group of four friends. For r, y in the domain, rHy if y is at least as tall as r. The table below shows each person in the domain and her height Name Height Angie Bernice5'5" Carmen 5'0 Deirdre 5'3 5'3