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Select all of the cases that will be used in order to prove the following proposition by cases. Proposition: For each a E Z, if a 0 (mod 3), then a2 = 1 (mod 3). O a 0 O a = 1 O a = 2

Select all of the cases that will be used in order to prove the following proposition by cases. Proposition: For each a E Z, if a 0 (mod 3), then a2 = 1 (mod 3). O a 0 O a = 1 O a = 2

Elements Of Modern Algebra
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 35E
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Select all of the cases that will be used in order to prove the following proposition by cases. Proposition: For each a € Z, if a 0 (mod 3), then a2 = 1 (mod 3). O a = 0 O a = 1 O a = 2 O a = 0 (mod 3) O a = 1 (mod 3) O a = 2 (mod 3)
Transcribed Image Text:Select all of the cases that will be used in order to prove the following proposition by cases. Proposition: For each a € Z, if a 0 (mod 3), then a2 = 1 (mod 3). O a = 0 O a = 1 O a = 2 O a = 0 (mod 3) O a = 1 (mod 3) O a = 2 (mod 3)
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