For any integers \(x\) and \(y,\) \(\min(x, y)\) and \(\max(x, y)\) denote the minimum and the maximum of \(x\) and

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For any integers \(x\) and \(y,\) \(\min(x, y)\) and \(\max(x, y)\) denote the minimum and the maximum of \(x\) and \(y,\) respectively. For example, \(\min(5, 2) = 2\) and \(\max(5, 2) = 5.\) For the integer \(w,\) what is the value of \(\min(10, w)?\)

(1) \(w = \max(20, z)\) for some integer \(z.\)
(2) \(w = \max(10, w)\)

Answer: D

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