MathematicsMedium58×since 2004Q5370Let R be the real line. Consider the following subsets of the plane R×RR \times RR×R : S={(x,y):y=x+1 and 0<x<2}S = \left\{ {(x,y):y = x + 1\,\,and\,\,0 < x < 2} \right\}S={(x,y):y=x+1and0<x<2} T={(x,y):x−y is an integer }T = \left\{ {(x,y): x - y\,\,\,is\,\,an\,\,{\mathop{\rm int}} eger\,} \right\}T={(x,y):x−yisaninteger}, Which one of the following is true ?ANeither S nor T is an equivalence relation on RBBoth S and T are equivalence relation on RCS is an equivalence relation on R but T is notDT is an equivalence relation on R but S is notCheck answerSkip