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second question : Fix a particular nonzero integer n. For an integer k, define a set C Z by the rule Note here that [k

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second question :

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Fix a particular nonzero integer n. For an integer k, define a set C Z by the rule Note here that [k is somewhat funny notation for a subset of the integers. You can convince yourself that [k] ,k- 2n, k n, k, kn, k+2n,...) This set is called the equivalence class of k. Prove that (Note that k] and [k] are sets.)

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