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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