(a) If 11 integers are selected from {1, 2, 3, ..., 100}, prove that there are at...

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(a) If 11 integers are selected from {1, 2, 3, ..., 100}, prove that there are at least two, say x and y, such that 0 < |√x - √y < l.
(b) Write a statement that generalizes the result of part (a).
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