## 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

by M7MBA » Thu Jul 22, 2021 7:03 am

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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) $$w = \max(10, w)$$