Hint for Section 10.3 Question 5

5. a) Recall the quotient - remainder theorem which states that given any integer n and positive integer d, there exist unique integers q and r such that
n = d · q + r  where 0r < d. Then let d = 5 and consider the possible values for r.

b) To find the relation induced by this partition, compare the subsets A₀, A₁, A₂, A₃ and A₄ to the equivalence classes you found in the previous question.

Back to Section 10.3
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