Show that if and , then . I try to prove by squaring the terms but it is long. Do anyone has a shorter approach to the question?
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Originally Posted by problem Show that if and , then . I try to prove by squaring the terms but it is long. Do anyone has a shorter approach to the question? The right-hand inequality is false. For example, let , where Then and It is clearly not true that Edit. The left-hand inequality is also false, as you can check by putting and , with
Last edited by Opalg; April 13th 2011 at 12:21 PM.
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