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Let s f 1 2 3 4 14 15g and let arb mean a b mod n where

Let S = f 1, 2, 3, 4, ... ,14, 15g, and let aRb mean a = b mod n, where n is a positive integer.

a. Prove R is an equivalent relation on S.

b. List the equivalence classes into which R partitions S.

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