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?

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01-10-2021
SAT

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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?

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