Solved: For points (XI, YI) and (X2, Y2) in a plane with rectangular coordinate system
Chapter 9, Problem 9.16(choose chapter or problem)
For points (XI, YI) and (X2, Y2) in a plane with rectangular coordinate system, let (XI, YI) ~(X2' Y2) mean that XI - X2 is an integer.(a) Prove that ~ is an equivalence relation.(b) Give a geometric description of the equivalence class to which (0, 0) belongs.(c) Give a complete set of equivalence class representatives.
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