Re: how to prove this inequality
- From: A N Niel <anniel@xxxxxxxxxxxxxxxxxxxxx>
- Date: Sat, 03 Sep 2005 19:09:30 -0400
In article
<9918343.1125787424720.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
woodland <woodland_56@xxxxxxxxx> wrote:
> hi
>
> here's the problem,
>
> if a,b belong to R (set of real numbers), and
> a-c < b for any c >0 prove that a <= b
>
> there's hint in my book that prove this by contradiction
> i assumed that let 'a' not less than or equal to b, then
> by trichotomy a > b. but after this i lost.
>
then a-b > 0. Something is assumed true for ALL c > 0, so apply it to
THIS thing > 0.
.
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