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Thread: Problem with inequalities

  1. #1
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    Problem with inequalities

    {}'s represent absolute value bars.

    {2x+5} - 7 > -6

    What the do I do wit the -7? How is the problem solved?
    Last edited by ThePerfectHacker; Jul 24th 2007 at 04:16 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bonapartist View Post
    {}'s represent absolute value bars.

    {2x+5} - 7 > -6

    What the do I do wit the -7?
    bring it to the other side.


    |2x + 5| - 7 \geq -6

    \Rightarrow |2x + 5| \geq 1

    we have absolute values, we consider two inequalities now. one inequality describes if what is in the absolute value signs is positive, the other deals with the possibility it is negative

    So we must solve:

    2x + 5 \geq 1 .............and .............. -(2x + 5) \geq 1

    now continue
    Last edited by ThePerfectHacker; Jul 24th 2007 at 04:17 PM.
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