6. A binary operation is defined one the set {1,2,3,4}. The table shows the *1 2 3 4 14 321 23 14 2 32 4 1 3 412 3 4 16 possible answers using this operation. a. What is 2 * 4? b. What is 3 * 2? c. Is * commutative? Explain

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 5E
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* = Binary Operation sign

6. A binary operation is defined one the set {1,2,3,4}. The table shows the *1 2 3 4
14 321
2 3 14 2
32 4 13
412 3 4
16 possible answers using this operation.
a. What is 2 * 4?
b. What is 3 * 2?
c. Is * commutative? Explain
d. Is * associative? Explain
e. Is there identity element in *?
Transcribed Image Text:6. A binary operation is defined one the set {1,2,3,4}. The table shows the *1 2 3 4 14 321 2 3 14 2 32 4 13 412 3 4 16 possible answers using this operation. a. What is 2 * 4? b. What is 3 * 2? c. Is * commutative? Explain d. Is * associative? Explain e. Is there identity element in *?
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