Let * be a binary operation on Z defined by a*b = a +b-4 for all a , beZ. Which of the following is a FALSE statement?

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 * be a binary operation on Z defined by a * b = a + b - 4 for all a, b EZ.
Which of the following is a FALSE statement? *
O Operation * is commutative.
O The inverse of a is b.
Operation * is associative.
O The identity element of operation * is 4.
Transcribed Image Text:Let * be a binary operation on Z defined by a * b = a + b - 4 for all a, b EZ. Which of the following is a FALSE statement? * O Operation * is commutative. O The inverse of a is b. Operation * is associative. O The identity element of operation * is 4.
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