At the beginning of this section we considered the following operation defined on

Chapter 40, Problem 40.1

(choose chapter or problem)

At the beginning of this section we considered the following operation defined on integers by x ? y D jx yj. Please answer the following questions (and explain your answer): a. Is ? closed on the integers? b. Is ? commutative? c. Is ? associative? d. Does ? have an identity element? If so, does every integer have an inverse? e. Is .Z; ?/ a group?

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