2: {2i} paints] a) Consider the set R. afrea] numbers, and let R he the feilnwing relatian in B; Ti H. v if |rt-y|s:l Is R reexive? Symmetric? Antjsvmn'ietrie'? Transitive? An equivalenee relation? A partial arder'? Prnve van: answers. h) Ler R be the fellnwing different reiatjnn in R: silly if x=verlrtjetlyj Preve that R is a partial order but met a total order. e] Let R be the fallewing dii'erent relation in R: x R v if ixi=nt Prnve that R is an equivalenee reiatjan, and give the equivalence classes nfR