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Math Help - Absolute value inequality

  1. #1
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    Absolute value inequality

    Hey there, my first post here. Anyway, I need to solve this inequality by giving an interval notation.

    Here is the question:

    |2/x - 3| < 5

    the denominator x is just throwing me off =S

    Any hints or insights would be greatly appreciated!
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by skeeterrr View Post
    Hey there, my first post here. Anyway, I need to solve this inequality by giving an interval notation.

    Here is the question:

    |2/x - 3| < 5

    the denominator x is just throwing me off =S

    Any hints or insights would be greatly appreciated!
    Hint:

    When you take reciprocals in an inequality, the signs reverse...
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  3. #3
    Newbie
    Joined
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    Quote Originally Posted by VonNemo19 View Post
    Hint:

    When you take reciprocals in an inequality, the signs reverse...
    I solved it but I didn't take the reciprocal...

    I took the domain of the inequality and everything else was straightforward.

    Thanks!
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