The cube of a number is less than five times the square of the number. For what set of numbers is this true?

Let the number be x. The inequality is x³ < 5x², or x²(x − 5) < 0. Since x² is positive for every x except 0, the product is negative when x < 5 but x is not 0. Thus the solution is (−∞, 0) ∪ (0, 5), choice C.

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