Consider the following mathematical system. Assume the

Chapter 10, Problem 774

(choose chapter or problem)

Consider the following mathematical system. Assume the associative property holds for the given operation. a) What are the elements of the set in this mathematical system? b) What is the binary operation? c) Is the system closed? Explain. d) Is there an identity element for the system under the given operation? e) Does every element in the system have an inverse? If so, give each element and its corresponding inverse. f ) Give an example to illustrate the associative property. g) Is the system commutative? Give an example. h) Is this mathematical system a commutative group? Explain.

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