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.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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