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Math Help - Absolute Value equation

  1. #1
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    Absolute Value equation

    3 Ix+3I = Ix-3I+2x

    I used the letter (I) and the line for the absolute value. Thanks for your help.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by MathMack View Post
    3 Ix+3I = Ix-3I+2x

    I used the letter (I) and the line for the absolute value. Thanks for your help.
    By the way, your keyboard has a key | that is just above the "enter" key. Use that for absolute value.

    3|x + 3| = |x - 3| + 2x

    There are 3 intervals you need to consider: (-\infty, -3),~(-3, 3),~(3, \infty)

    On (-\infty, -3) the equation reads
    3(-x - 3) = -(x - 3) + 2x

    On (-3, 3) the equation reads
    3(x + 3) = -(x - 3) + 2x

    On (3, \infty) the equation reads
    3(x + 3) = (x - 3) + 2x

    One, or more, of these equations will give you your solution set.

    -Dan
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  3. #3
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    I'm a little confused, so if I do one of them equations it will give me the answer or what I need for the problem?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by MathMack View Post
    I'm a little confused, so if I do one of them equations it will give me the answer or what I need for the problem?
    You need to do all three to see which one will give you a solution. For example, the first two give the same solution, which are both inside (barely) their regions of applicability. The third equation has no solution.

    -Dan
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