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Math Help - Interval Notation

  1. #1
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    Unhappy Interval Notation

    Need help on solving this absolute value inequality using interval notation!!

    2|x +6| + 4 > 1
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  2. #2
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    Quote Originally Posted by BadMaterial View Post
    Need help on solving this absolute value inequality using interval notation!!

    2|x +6| + 4 > 1
    This doesn't really make any sense...

    |x + 6| \geq 0 for all x.


    So that means that

    2|x + 6| \geq 0 for all x

    2|x + 6| + 4 \geq 4 for all x.


    Since it is always no less than 4, it must always be greater than 1...


    So x \in (-\infty, \infty)...
    Last edited by Prove It; January 10th 2010 at 06:28 PM.
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  3. #3
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    Quote Originally Posted by Prove It View Post

    |x + 6| \geq 0 for all x.


    So that means that

    2|x + 6| \geq 2 for all x

    2|x + 6| + 4 \geq 6 for all x.
    I think you meant to say

    2|x + 6| \geqslant 0

    2|x + 6| + 4 \geqslant 4

    (The result still remains true though BadMaterial)
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  4. #4
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    Thanks.

    Edited.
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