Problem 4. Let Ug = {1,3,5,7). Part (a). Is addition modulo 8 a binary operation on this set? Justify your answer. Consider, [5] , [3]g = [8]g = [0]g but 0 # Ug Part (b). Is multiplication modulo 8 a binary operation on this set? Justify your answer. 5 5 1 3 5 7 1 1 3 5 7 3 3 1 1 5 7 1 3 7 7 5 3 3 By the figure above, each member of the set is represented. For every (a, b) € UÅ, a b E Us
Problem 4. Let Ug = {1,3,5,7). Part (a). Is addition modulo 8 a binary operation on this set? Justify your answer. Consider, [5] , [3]g = [8]g = [0]g but 0 # Ug Part (b). Is multiplication modulo 8 a binary operation on this set? Justify your answer. 5 5 1 3 5 7 1 1 3 5 7 3 3 1 1 5 7 1 3 7 7 5 3 3 By the figure above, each member of the set is represented. For every (a, b) € UÅ, a b E Us
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 4. Let Ug = {1,3,5,7).
Part (a). Is addition modulo 8 a binary operation on this set? Justify your answer.
Consider, [5] , [3]g = [8]g = [0], but 0 € Ug
Part (b). Is multiplication modulo 8 a binary operation on this set? Justify your answer.
5
5
1
3
5
7
1
1
3
5
7
3
3
1
1
5
7
1
3
7
7
5
3
3
By the figure above, each member of the set is represented. For every (a, b) € UÅ,
a 8 b E Ug](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1b65600-d204-4706-9da4-f66117221fbc%2F87fa8cc9-192b-4f23-b60b-7febd3eb055a%2Ff8f8j_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4. Let Ug = {1,3,5,7).
Part (a). Is addition modulo 8 a binary operation on this set? Justify your answer.
Consider, [5] , [3]g = [8]g = [0], but 0 € Ug
Part (b). Is multiplication modulo 8 a binary operation on this set? Justify your answer.
5
5
1
3
5
7
1
1
3
5
7
3
3
1
1
5
7
1
3
7
7
5
3
3
By the figure above, each member of the set is represented. For every (a, b) € UÅ,
a 8 b E Ug
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