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Math Help - True or False of convex sets

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    rcs
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    True or False of convex sets

    1. the union of two convex sets is a convex sex _______
    2. The union of any two convex sets, which have at least two points in common, is a convex set. __________

    need your help on this convex sets true or false.

    thanks
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    Re: True or False of convex sets

    Try some examples, like filled circles.
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    Re: True or False of convex sets

    Quote Originally Posted by emakarov View Post
    Try some examples, like filled circles.
    i cant get it
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    Re: True or False of convex sets

    True or False of convex sets-convex.png

    Is the red figure convex? What about the blue one? If you can't answer the first question, you need to study the definition of a convex set and read about examples of sets that are convex and not convex. If this is the case (and note that I only want to say the following if you can't answer the first question), then it is unreasonable to believe that you can solve a problem without knowing the definition, and it would be a waste of time to involve other people in helping you to solve the problem.
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    Re: True or False of convex sets

    Quote Originally Posted by emakarov View Post
    Click image for larger version. 

Name:	convex.png 
Views:	0 
Size:	12.8 KB 
ID:	24519

    Is the red figure convex? What about the blue one? If you can't answer the first question, you need to study the definition of a convex set and read about examples of sets that are convex and not convex. If this is the case (and note that I only want to say the following if you can't answer the first question), then it is unreasonable to believe that you can solve a problem without knowing the definition, and it would be a waste of time to involve other people in helping you to solve the problem.

    thank you but among the helpers ... it is not you i would want it be answered
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    Re: True or False of convex sets

    I can only conclude from this that you do not know what a convex set is- which makes me wonder why you were given such a problem. A set is "convex" if and only if, given any two points in the set, every point on the line segment between the two points is also in the set. Can you use that, and the pictures emakarov shows, to answer the questions.
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    Re: True or False of convex sets

    Quote Originally Posted by rcs View Post
    thank you but among the helpers ... it is not you i would want it be answered
    Note that you do not get a "choice" of helpers here. emakarov provided sound guidance toward answering your question ... if you choose not to accept it, then I advise you go to another site for seeking help.
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    Re: True or False of convex sets

    Quote Originally Posted by skeeter View Post
    Note that you do not get a "choice" of helpers here. emakarov provided sound guidance toward answering your question ... if you choose not to accept it, then I advise you go to another site for seeking help.
    thank you skeeter you are sooo cute
    Last edited by rcs; August 16th 2012 at 06:40 PM.
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