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Math Help - Another fraction inequality

  1. #1
    Newbie
    Joined
    Dec 2008
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    11

    Another fraction inequality

    Question is :

    x > 6/x-1

    I get up to the point (bit too messy to type) where i'm stuck with x^3 and I have no idea what to do with it. Walk through will be appreciated!


    Thanks!

    Edit: ah I figured it out, i kept assuming that i had to multiply both sides by (x-1)^2 which only applies when there is a >1 or <1 on the other side. Anyways thanks for clicking this thread lol
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
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    France
    Posts
    1,458
    Hi

    x > \frac{6}{x-1}

    x - \frac{6}{x-1} > 0

    \frac{x^2 - x - 6}{x-1} > 0

    \frac{(x-3)(x+2)}{x-1} > 0

    Now you just have to build a table of signs to find the solution
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