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Math Help - how to solve this inequality

  1. #1
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    how to solve this inequality

    [4 / (1 - x)] < 2
    Last edited by marie7; July 31st 2009 at 10:01 PM. Reason: typo should be < 2 not > 2
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by marie7 View Post
    [4 / (1 - x)] < 2
    \frac{4}{1-x} < 2

    \frac{2}{1-x} < 1

    \frac{2}{1-x}-1<0

    \frac{1+x}{1-x} < 0

    Case 1: 1+x>0 and 1-x<0

    x>-1 and x>1

    ie x>1

    Case 2: 1+x<0 and 1-x>0

    x<-1 and x<1

    ie x<-1
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