Well-Ordered

A non-empty set \(A\) of real numbers is called \(well-ordered\) if every non-empty subset of \(A\) has a least element.

The set of positive integers is well-ordered.

Is the set of positive rational numbers that can be written in the form \(\frac{a}{2}\), where \(a\) is a positive integer, \(well-ordered\)?

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