If [itex]a[/itex] and [itex]b[/itex] are positive and [itex]a < b[/itex], do we have(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

(0 < x < 1) \Rightarrow \frac{1}{x^b} > \frac{1}{x^a}

[/tex]

and

[tex]

(1 < x < \infty) \Rightarrow \frac{1}{x^a} > \frac{1}{x^b}

[/tex]

?????

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# Simple questions about some inequalitites

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