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Inequalities of modulus!

  1. Sep 12, 2009 #1
    1. The problem statement, all variables and given/known data
    |x+2/x+1|less than or equal to |x-3|
    how do i solve this??
    I couldn't find any way!
    My lecturer did give me a hint saying that there are four combinations of + and -ve signs.
    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Sep 12, 2009
  2. jcsd
  3. Sep 12, 2009 #2

    HallsofIvy

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    Staff Emeritus
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    With complicated inequalities it is usually best to solve the corresponding equation first. For what values of x is |(x+2)/(x+1)|= |x- 3|. For what values of x is that left side not defined? Those points separate ">" from "< ".
     
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