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    Equivalence Relations and Classes

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    For m, n, in N define m~n if m^2 ? n^2 is a multiple of 3.
    (a.) Show that ~ is an equivalence relation on N.
    (b.) List four elements in the equivalence class [0].
    c) List four elements in the equivalence class [1].
    (d.) Are there any more equivalence classes. Explain your answer.

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