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Math Help - Set theory help?

  1. #1
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    Set theory help?

    Find 5 elements that could be in:
    {x ∈ ℤ|x - 3 ≡ 0 (mod 2) }


    Given = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, find A' given A = {1, 4, 7, 9}
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  2. #2
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    Re: Set theory help?

    Are these two different questions? Is the universal set, and is A' the complement of A?

    What have you tried and what are your difficulties? Do you understand all the concepts involved?
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  3. #3
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    Re: Set theory help?

    Quote Originally Posted by emakarov View Post
    Are these two different questions? Is the universal set, and is A' the complement of A?

    What have you tried and what are your difficulties? Do you understand all the concepts involved?
    Yes. They're two different questions. I did the first one though. I don't understand the second one. I think we can assume that is just a set that includes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and that A' is the complement of A.

    Also, for the first one, correct me if I'm wrong. I came to the conclusion that basically the elements that could be in there were odd numbers, so I listed odd numbers.
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  4. #4
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    Re: Set theory help?

    Also, for the first one, correct me if I'm wrong. I came to the conclusion that basically the elements that could be in there were odd numbers, so I listed odd numbers.
    I agree.

    My guess is that the second question asks to find the complement of {1, 4, 7, 9} when the whole (universal) set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
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  5. #5
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    Re: Set theory help?

    Quote Originally Posted by emakarov View Post
    I agree.

    My guess is that the second question asks to find the complement of {1, 4, 7, 9} when the whole (universal) set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
    Yes, that's the conclusion I've come to. Thanks for your time and your help.
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  6. #6
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    Re: Set theory help?

    Find 5 elements that could be in:
    {x ∈ ℤ|x - 3 ≡ 0 (mod 2) }
    Just tagging on here.

    Would 13,15,17,19,21 be a correct answer to this question?

    Could it not just be any odd number?
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  7. #7
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    Re: Set theory help?

    Yes, any odd integer is in the set.
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