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Math Help - Inequalities

  1. #1
    Super Member Showcase_22's Avatar
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    Inequalities

    This is the question i'm stuck on:

    a-|a-|a|| Rewrite this expression without absolute value signs, treating various cases separately where necessary.

    a-|a-|a||

    When a is negative (ie. a=-k);

    -k-|-k-k|
    -k-|-2k|
    -k-2k=-3k=3a

    When a is positive (ie.a=k)

    k-|k-|k||
    k-|k-k|
    k-0=k=a

    So when a is negative the expression is just 3a.
    When a is positive the expression is a.

    I just wanted to know if that's correct. The question before it was a lot more complicated, this one seems too easy to be true.....
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  2. #2
    Super Member
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    Have some confidence, yes its correct.

    Bobak
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  3. #3
    Super Member Showcase_22's Avatar
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    Thanks again Bobak.

    I've been doing so much stuff wrong lately that it's making me freak out (and not in the good way!).

    I'll be better in a few days or so.
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