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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
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There are exactly 3 values of n:

n = 0, n = 2, and n = -2.

 Jul 24, 2022

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