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Math Help - Solve For X

  1. #1
    Junior Member
    Joined
    Mar 2008
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    30

    Solve For X

    |1+(1/x)|<2

    I know that the range of x is greater than 1 but less than 0 but can't figure out how to prove it mathematically.
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  2. #2
    Newbie
    Joined
    Nov 2009
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    Hi,

    are you sure that it is not less equal two? I guess it should be a \leq instead of a <

    I guess you should use the triangle inequality for the right path
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  3. #3
    Super Member bigwave's Avatar
    Joined
    Nov 2009
    From
    honolulu
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    580
    transform into an equivlent double inequality and solve
     -2\ <\ 1 + \frac{1}{x} \ < 2

     - \frac{1}{3} \ > \ x \ > 1
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