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# Help!

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Suppose that  $$\star(n) = \left\{n - 2, n + 2, 2n, \frac {n}{2}\right\}$$. For example, $$\star(6) = \{3,4,8,12\}$$. FOr how many distinct integers $$n$$ does $$\star(n)$$have exactly three distinct elements?

Jul 24, 2022