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Math Help - Set problems

  1. #1
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    Set problems

    I've attached the file. I only need help with f), g), h), i), j), k)
    Last edited by brumby_3; March 15th 2010 at 09:03 PM.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by brumby_3 View Post
    I've attached the file. I only need help with f), g), h), i), j), k)
    I can't enlarge your image.
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    Hi there,
    Oh dear, I don't know what to do about that It's a bit hard to type out because of all the symbols. Hmm...


    Sorry but I can't upload the file, it won't seem to work for me. Maybe I could email it to you?
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by brumby_3 View Post
    Hi there,
    Oh dear, I don't know what to do about that It's a bit hard to type out because of all the symbols. Hmm...


    Sorry but I can't upload the file, it won't seem to work for me. Maybe I could email it to you?
    Can you just try to type some of the ones your are really having trouble with?

    You don't have to do LaTeX if you can't. just do things like

    X v Y for union and X ^ Y for intersection. X' for compliment, etc.
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    Yfrog - problemrw

    Let me know if this link works.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by brumby_3 View Post
    Yfrog - problemrw

    Let me know if this link works.
    It does!

    I'll help you with f, g. Try the rest and get back to us.

    f) is the set of all real numbers x such that x^2\not <2 and x^2\not >2. Think about it, this is saying that x^2\leqslant 2 and x^2\geqslant 2 and so x^2=2\implies x=\pm\sqrt{2}

    g) Notice that E and D are disjoint and so every thing that is in E that isn't in D is just E. And so, \mathbb{R}-\left(E-D\right)=\mathbb{R}-E and so it's all the numbers for which x^2\not >2\implies x\in [-\sqrt{2},\sqrt{2}]
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  7. #7
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    f) Read it as "The reals, excluding those in E, excluding those in D".

    g) Read it as "The reals, excluding (those in E, excluding those in D)". What do you think the brackets mean?

    h) Read it as "The rationals, excluding those in the Reals" (what do you think THAT would leave?) or those in C.

    i) Read it as "Everything that is in C and not in A".

    j) Read it as "Everything in E and not in D"

    k) Read it as "Everything in A or not in B".
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    Hmm just figuring out h, rationals minus the reals equals nothing because reals include all rational numbers.
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    Quote Originally Posted by brumby_3 View Post
    Hmm just figuring out h, rationals minus the reals equals nothing because reals include all rational numbers.
    Right, so you have to choose from either an empty set, or C.

    What do you think you're going to have to choose from?
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    Hi Prove it,
    The answer is just C, right?
    I'm having some problems with the remaining questions - so for i), it's what's in C and not what's in A, so how do I get the answer to this? So 0 and 1 in C are gone, so how do I write the answer? It's the inequalities that are messing me up.
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  11. #11
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    Quote Originally Posted by brumby_3 View Post
    Hi Prove it,
    The answer is just C, right?
    I'm having some problems with the remaining questions - so for i), it's what's in C and not what's in A, so how do I get the answer to this? So 0 and 1 in C are gone, so how do I write the answer? It's the inequalities that are messing me up.
    What elements are in C and also not in A?
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