Determine which of the following congruence relations are true and which are false. (a) 39 = 4 (mod 5) True False (b) 3 = -3 (mod 7) True False (c) -2 = -5 (mod 3) True False (d) -5 = 27 (mod 2) True False

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
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Determine which of the following congruence relations are true and which are false.
(a) 39 = 4 (mod 5)
True
False
(b) 3 = -3 (mod 7)
True
False
(c) -2 = -5 (mod 3)
True
False
(d) -5 = 27 (mod 2)
True
False
Transcribed Image Text:Determine which of the following congruence relations are true and which are false. (a) 39 = 4 (mod 5) True False (b) 3 = -3 (mod 7) True False (c) -2 = -5 (mod 3) True False (d) -5 = 27 (mod 2) True False
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