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  3. let the cyclic group {[0], [1], [2], ..., [n ? 1]}

Let the cyclic group {[0], [1], [2], ..., [n ? 1]} be denoted by Z/nZ. Consider...

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Advance Math

Let the cyclic group {[0], [1], [2], ..., [n ? 1]} be denoted byZ/nZ. Consider the following statement: for every positive integern and every x in Z/nZ, there exists y ? Z/nZ such that xy = [1].(a) Write the negation of this statement. (b)Is the original statement true or false? Justify your answer.

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