Let R C R+ × R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up to the sane number. Characterize R in terms of whether it is reflexive, irreflexive, symmetric, anti-symmetric, transitive,...

Extracted text: Let R C R+ × R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up to the sane number. Characterize R in terms of whether it is reflexive, irreflexive, symmetric, anti-symmetric, transitive, complete, any sort of ordering relation, and/or an equivalence relation. This is not a formal proof, but briefly explain your reasoning.