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Math Help - graphing inequalities

  1. #1
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    graphing inequalities

    please help!
    how do you graph xy<12?
    i can't find any examples in my book .
    thank you!
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  2. #2
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    xy<12

    I suppose you could do this:
    Transform xy<12 to y<12/x.
    Sketch the graph y = 12/x, a hyperbola if I am correct.
    Change your curves to dotted boundaries.
    Select some test points to find regions where xy<12.
    Shade the areas for which xy<12.

    I think you will have a two-dimensional graph at the end.

    Bye.
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  3. #3
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    Quote Originally Posted by jmmsan View Post
    please help!
    how do you graph xy<12?
    i can't find any examples in my book .
    thank you!
    Isolate y in the inequality to get

    y < \frac{12}{x}

    Now we want to graph y=\frac{12}{x}

    This hyperbola divides the xp plane into 3 parts. We need to check a values from each one to find where to shade.

    when we check the origin (0,0) in the orginial we get 0 \cdot 0 \le 12 This is true

    So we shade the part inbetween the two hyperbola's see the attached graph.

    Good luck.

    graphing inequalities-capture.jpg
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