If \(n\) is a prime number greater than \(2,\) is \(\dfrac1{x} > 1?\)

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If \(n\) is a prime number greater than \(2,\) is \(\dfrac1{x} > 1?\)

(1) \(x^n<x<x^{\frac1{n}}\)

(2) \(x^{n-1} > x^{2n-2}\)

Answer: C

Source: Manhattan GMAT