exercise 1.15 [BOMC]

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tanvirab
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exercise 1.15 [BOMC]

Unread post by tanvirab » Wed Oct 26, 2011 12:10 pm

nafistiham wrote:need hint .
exercise $1.15$
if $a,b,c$ are positive numbers, prove that it is not possible to have at the same time the inequalities :
$a(1-b)> \frac{1}{4},b(1-c)> \frac{1}{4},c(1-a)> \frac{1}{4} $

$Ti ham $

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*Mahi*
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Re: exercise 1.15 [BOMC]

Unread post by *Mahi* » Wed Oct 26, 2011 1:19 pm

HINT:
$x(1-x)\leq \frac 1 4$
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