[email protected] wrote: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)
Please explain statement 1. I did not get it.
The value of min(10,w) is equal to the MINIMUM of 10 and w.
If 10<w, then the MINIMUM of 10 and w is 10.
Statement 1: w = max(20, z) for some integer z.
In other words, w is equal to the MAXIMUM of 20 and z.
Case 1: 20<z
In this case, the MAXIMUM value is z, which is greater than 20 and thus GREATER THAN 10.
Case 2: z≤20
In this case, the MAXIMUM value is 20, which is GREATER THAN 10.
In each case, the MAXIMUM value -- in other words, the value of w -- is GREATER THAN 10.
Thus, w>10.
Since 10<w, min(10,w) = 10.
SUFFICIENT.
Statement 2: w = max(10, w)
Thus, of 10 and w, the MAXIMUM value is w.
In other words, w>10.
Since 10<w, min(10,w) = 10.
SUFFICIENT.
The correct answer is
D.
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