7. Consider the following table that displays the binary operation on the set {x,y,z). I N 8 (a) Determine whether is commutative. 8 U Y V Y Y I I N 8 N 8

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 4E
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7. Consider the following table that displays the binary operation on the set {r, y, z).
*
commutative?
I
Y
Z
I V 2
T
Y
31
I
2
I
Y I I
(a) Determine whether is commutative.
(b) Determine whether is associative.
(c) What property must the table for a binary operation have in order for the operation to be
Transcribed Image Text:7. Consider the following table that displays the binary operation on the set {r, y, z). * commutative? I Y Z I V 2 T Y 31 I 2 I Y I I (a) Determine whether is commutative. (b) Determine whether is associative. (c) What property must the table for a binary operation have in order for the operation to be
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