R1={xy≥0,x,y∈R} For reflexive x×x≥0 which is true. For symmetric If xy≥0⇒yx≥0 If x=2,y=0 and z=−2 Then x⋅y≥0&y⋅z≥0 but x⋅z≥0 is not true ⇒ not transitive relation. ⇒R1 is not equivalence R2 if a≥b it does not implies b≥a ⇒R2 is not equivalence relation