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?
There are exactly 3 values of n:
n = 0, n = 2, and n = -2.