MathematicsHard58×since 2004Q5372Let RRR be the set of real numbers. Statement I : A={(x,y)∈R×R:y−xA=\{(x, y) \in R \times R: y-xA={(x,y)∈R×R:y−x is an integer }\}} is an equivalence relation on RRR. Statement II : B={(x,y)∈R×R:x=αyB=\{(x, y) \in R \times R: x=\alpha yB={(x,y)∈R×R:x=αy for some rational number α}\alpha\}α} is an equivalence relation on RRR.AStatement I is true, Statement II is true; Statement II is not a correct explanation for Statement I.BStatement I is true, Statement II is false.CStatement I is false, Statement II is true.DStatement I is true, Statement II is true; Statement II is a correct explanation for Statement I.Check answerSkip