5. Let a, b, n be integers with n >0 such that a % n = b%n. Which of the following statements is not true in general? (a) ka % n = kb% n for all ke N (b) a % k=b%k for all ke N (c) ab is a multiple of n (d) (ka+bk) % n = (kb+ak) % n for all k € N C O P a Ob
5. Let a, b, n be integers with n >0 such that a % n = b%n. Which of the following statements is not true in general? (a) ka % n = kb% n for all ke N (b) a % k=b%k for all ke N (c) ab is a multiple of n (d) (ka+bk) % n = (kb+ak) % n for all k € N C O P a Ob
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement
is assumed to be true for , then it can be proved to be true for . Is...
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