Let m 2q be an even positive integer. Prove that every integer is congruent modulo m to a unique integer r such that - (q-1) ≤r ≤q.
Let m 2q be an even positive integer. Prove that every integer is congruent modulo m to a unique integer r such that - (q-1) ≤r ≤q.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 9E
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