I went about it like this

so and have the same sign

so altogether I have

which seems to imply that all M and N fit apart from M=N

let M=2 N=1

but this has

What am I doing wrong ?

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- May 25th 2012, 03:33 PMMathFancan't figure this inequality

I went about it like this

so and have the same sign

so altogether I have

which seems to imply that all M and N fit apart from M=N

let M=2 N=1

but this has

What am I doing wrong ? - May 25th 2012, 06:44 PMWilmerRe: can't figure this inequality
2mn < -2mn

1 < -1

stop! - May 26th 2012, 05:10 AMMathFanRe: can't figure this inequality
2mn<-2mn

m=2

n=-1

2mn=-4

-2mn=4

2mn<-2mn - May 26th 2012, 07:23 AMBobPRe: can't figure this inequality
Multiply out both sides and collect terms and you arrive at

which clearly is not the case for all and

If and are both positive you would need to have - May 26th 2012, 10:08 AMMathFanRe: can't figure this inequality
Thanks Bob, seems easier than the way I was going about it.

Does this cover all of them ?