Let R be defined on Z x Z where a R y if æ = y( mod 7) Define the equivalence classes of R as P = {[0], [1], [2], [3], [4], [5], [6]} where the equivalence class is the remainder mod 7. a) Determine if (12, 1083) e R. Justify your answer. b) Find a member, æ of each of the 7 equivalence classes where a > 100.

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