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In: Advanced Math

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

Consider the mathematical system with the single element {1} under the operation of multiplication. Answer and explain the following:

a)      Is the system closed?

b)      Does the system have an identity element?

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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