I need help in equivalence relationship...
Question> For points (x1, y1) and (x2, y2) in a plane with rectangular
coordinate system, let (x1, y1) ~ (x2, y2) mean that either x1=x2 or y1=y2.
i) Explain why ~ is not an equivalence relation on the set of points in the
plane.
ii) And describe the equivalence classes geometrically..And give a complete
set of equivalence class representatives.
Thank you!
Yes Sir! you are right, I forgot to mention a point in the (ii) one..
Let (x1, y1) ~ (x2, y2) means that y1=y2. I mistakenly mentioned either and or.
ii) Describe the equivalence classes geometrically..And give a complete
set of equivalence class representatives.