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Math Help - Min. and max. limits of a simple inequality

  1. #1
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    Min. and max. limits of a simple inequality

    Hello fellow forum-users,

    if anybody could help me with this simple inequality I would be truly appreciative:

    b < 1/(xy)

    What are the max. and min. limits of the value for x between which the inequality would prove true.

    Thanks in advance for any help.

    Alex
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  2. #2
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    Before wasting time on this, please tell us about b.
    Is is positive? Or just any real number? What about y?
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  3. #3
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    Plato,

    I should have specified that, you are right.

    0≤b≤1 (within that range any real number)

    0≤y≤1 (within that range any real number)

    Thanks for caring.
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  4. #4
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    In that case, clearly \displaystyle 0<x<\frac{1}{by}.
    Be sure to note that b\not= 0~\&~y\not= 0.
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  5. #5
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    Plato,

    wow. You are good (and fast). And you also corrected my restrictions about b and y. In the example I had in mind they could not equal zero after all.

    Thanks a lot.

    Alex.
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