1. Let X = 23+, the set of nonnegative integers. In each of the following parts, we will name a binary relation on X. For each one, tell me (i) whether or not it is complete, (ii) whether or not it is transitive, (iii) whether or not it is a preference relation, and if so, (iv) whether or not it admits a utility representation. Justify your answers. (a The relation =. l (b) The relation 79 (c) The relation YES where mYESy for every :1: and y. (d) The relation NDPE where we don't have mNDPEy for any :1: and y. (e) The relation :3, where :13 :3 y if and only if either :13 = 0 or 33 2 y 2 l