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#1

$Old$ December 31st, 2008, 07:46 AM

lmous $lmous is offline$

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$Cool$ Is x/y+l/m>(x-a)/(y-b)+(l+b)/(m+a) true if ...

If x,y,l,m,a,b are positive integers and b<a<x<=y, b<l<=m. Can be proved that
x/y+l/m>(x-a)/(y-b)+(l+b)/(m+a)?

Pls HELP

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$Old$ January 1st, 2009, 08:04 PM

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Quote:

Can be proved that
x/y+l/m>(x-a)/(y-b)+(l+b)/(m+a)?

No it can't

Try b=1, a=l=2, x=3, m=5, y=1000

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