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Math Help - absolute value inequality

  1. #1
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    absolute value inequality

    Good day everyone,

    I faced problem solving this inequality algebraically, can anyone please help me out, thanks in advance!

    6/(|x|+1)<|x|
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  2. #2
    Senior Member pankaj's Avatar
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    Quote Originally Posted by imforumer View Post
    Good day everyone,

    I faced problem solving this inequality algebraically, can anyone please help me out, thanks in advance!

    6/(|x|+1)<|x|
    |x|^2 +|x|-6 > 0

    (|x|+3)(|x|-2) > 0

    |x|-2 > 0 (since |x|+3 is always positive )

    |x|>2

    i.e. x<-2 or x >2
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