Let A = (0, 0, 0, 0) and let # be a binary operation from A X A to A presented by the following table: 0 0 0 ㅁㅁㅁㅁ ㅇ 0 0 00000 Which one of the following statements pertaining to the binary operation # is TRUE? a. is the identity element for #. b. # is symmetric (commutative). c. # is associative. d. [(o # 0) # ] = [0# (0 # *)]

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 6E
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Let A = {0, 0, , } and let # be a binary operation from A X A to A presented by the following table:
0
0
DO
0
0
OOOOO
Which one of the following statements pertaining to the binary operation # is TRUE?
a. is the identity element for #.
b. # is symmetric (commutative).
c. # is associative.
d. [(o # 0) # ] = [0# (0 # *)]
Transcribed Image Text:Let A = {0, 0, , } and let # be a binary operation from A X A to A presented by the following table: 0 0 DO 0 0 OOOOO Which one of the following statements pertaining to the binary operation # is TRUE? a. is the identity element for #. b. # is symmetric (commutative). c. # is associative. d. [(o # 0) # ] = [0# (0 # *)]
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