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Equation and Inequation With Absolute Value [12th Grade]

  1. Mar 4, 2008 #1
    1. The problem statement, all variables and given/known data

    Resolve these equations and these inequations with the absolute values. Give the solutions in the form of interval :

    |2-x|< 4

    |6-2x| = 3

    |x+2| > 3

    |4x²-12x+9| = 4

    |3x+1|+|1-x|>3

    |1-x²|=2x

    |x+2|<|x+3|

    |x^3-1|+[tex]pi[tex]>[tex]\sqrt{3}[/tex]

    3<|x+2|<4




    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 4, 2008 #2

    arildno

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    Way too hard to solve without some hints.
    Have you done some work to help me out with?
     
  4. Mar 4, 2008 #3
    you should try do them yourselves, I'm sure that if you think about them you can solve them =).

    to get a 'feel'

    |y|<c if and only if

    -y>-c ánd y<c

    if there is one you get stuck on, I or someone else will help you as you've shown what you've tried.
     
  5. Mar 4, 2008 #4

    HallsofIvy

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    I have always felt that the best way to handle complicated inequalities is to first solve the connected equation (|2- x|= 4, etc.) The points where the two sides are equal separate "<" and ">".
     
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