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I. Is x^2 < 2x < 1/x possible?
Is x<2<1/x^2 possible. Yes, but x's value must be a very small proper fraction, say x=0.1.
II. Is x^2 < 1/x < 2x possible?
Is x<1/x^2<2 possible? Yes, but x must still be a proper fraction and close to 1, say x=0.9
III. Is 2x < x^2 < 1/x possible?
Is 2<x<1/x^2. Nope, since x>2, 1/x^2 's value will no longer be greater than than x?
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