# How to find most negative number [closed]

How to find most negative number amongst (2M-1), (-2M+7), (-3M+10) and (-M+3). If we put M = 1 we get all positive answers. But we need most negative number.

Please tell me what more information should i give? or how to reformat question? what details i should give?

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@Abhijit: What exactly are u looking for. Do you need all the $(2M-1), (-2M+7)$ $\cdots$ to be negative –  user9413 Jun 12 '11 at 5:33
ammm no. i dont 'need' all them to be negative. i am looking for which one of them is 'most negative' –  Abhijit Navale Jun 12 '11 at 5:34
As far as I know there is nothing called as most negative. May be you are missing something –  user9413 Jun 12 '11 at 5:40
-1 The question, as stated, is unclear and somewhat confusing. I do not understand why this was voted up. The proper mathematical term for "most negative" is "smallest". Therefore, you wish to find the smallest number. However, it is not clear what numbers you are considering. You write: "If we put $M=1$ we get all positive answers. But we need most negative number." What exactly would you like us to do? Do you want to find the smallest number among these when $M=1$? Or do you want to find the smallest number among these for general $M$? How do we know what details you should give? –  Amitesh Datta Jun 12 '11 at 5:50
@Abhijit As stated, this question seems to have a straightforward answer that doesn't require "Dual LPP". If this isn't what you're looking for, could you perhaps provide more context? –  Elliott Jun 12 '11 at 9:14
I assume you want to find $\min(2M-1,-2M+7,-3M+10,-M+3)$ as a function of $M$. The answer is $2M-1$ if $M \le 4/3$, $-M+3$ if $4/3 \le M \le 7/2$, and $-3M+10$ if $M \ge 7/2$.