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OpenStudy (anonymous):
11 elements are chosen from the set S = f1; 2; 3; : : : ; 99; 100g. Show that, among these 11 numbers, there exists two of them (say x and y) which satisfy 0 < j p x p yj < 1. (Hint: Pigeonhole)
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OpenStudy (anonymous):
satisfy 0<abs(sqrt(x)-aqrt(y))<1
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