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Math Help - solving an inequality #2

  1. #1
    Member
    Joined
    Dec 2007
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    137

    solving an inequality #2

    I'm terrible at these...
    -3 < (1/x) < 1

    If possible could someone show a step-by-step solution?
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  2. #2
    Banned
    Joined
    Sep 2009
    Posts
    24
    First solve
    1/x ≤1=>x≥1

    Then solve
    1/x>-3=>x<-1/3

    See the solution on the number line and you will find that there is no common solution which satisfies both the inequalities simultaneously.

    So the solution is

    -1/3 < x ≥ 1

    That means the inequality holds good for all

    x ≥ 1
    And
    -1/3 < x
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