# a (closed) binary operation

1. a) Let A be a set equipped with a (closed) binary operation * .

If x is an arbitrary element of A, is x*x*x always an associative product?

Explain. Justify your answer.

b) Prove or disprove part a. Be complete and thorough in proof writing.

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1. a) Let A be a set equipped with a (closed) binary operation *.

If x is an arbitrary element of A, is x*x*x always an associative product?

Explain. Justify your answer.

Solution:

The ...

#### Solution Summary

A (closed) binary operation is explicated.

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