Consider the mathematical system with the single element {1} under the operation of multiplication. (a) Is this

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Consider the mathematical system with the single element {1} under the operation of multiplication.

(a) Is this system closed? 

(b) Is there an identity element in the set? 

(c) Does 1 have an inverse?

(d) Does the associative property hold? 

(e) Does the commutative property hold? 

(f)  Is {1} under the operation of multiplication a commutative group?

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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