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Math Help - plot feasible region of inequality function

  1. #1
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    plot feasible region of inequality function

    hello all,
    I need to know the method of plotting the feasible region of inequality function like the following nonlinear function
    (1-x1)^3-x2 >=0

    I know how to plot the region for the linear function like
    x1+x2<=5 - line connect x1=5 to x2=5 with the region under the line as a feasible region.

    Regards.
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  2. #2
    MHF Contributor
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    Re: plot feasible region of inequality function

    Why would a different sort of boundary pose any different process for plotting? Just find teh border and decide which side.

    x2 <= (1-x1)^3

    Okay, have you ever seen the function y = x^3? It should look a lot like that, only shifted one (1) to the right and reflected across the x-axis (flipped vertically). Can you see why there are TWO variations from y = x^3?

    Your last task is to decide which side to shade. You can either wring your hands and wonder or you can just TRY something. (0,0) is a nice place to start unless it is on the boundary. Is this true: 0 <= (1-0)^3. If so, shade that side.
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  3. #3
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    Re: plot feasible region of inequality function

    Thank you TKHunny.
    I understand now .
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