What is the solution of the following quadratic inequality?9x – x2 > 18

Rearrange the inequality: 9x − x² > 18 becomes x² − 9x + 18 < 0 after moving terms and multiplying by −1, which reverses the inequality. Factor: (x − 3)(x − 6) < 0. The product is negative between the roots, so the solution is (3, 6), choice A; the endpoints are excluded because the inequality is strict.

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