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Math Help - Beginner's set theory question

  1. #1
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    Question Beginner's set theory question

    Hello!

    I have some very basic set theory problems and would be grateful for some clarification.

    For a problem where G=N, I should list {y : y = 2x & x ∈ N}. How is this done exactly?

    Thank you.
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  2. #2
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    Quote Originally Posted by quantmoni View Post
    Hello!

    I have some very basic set theory problems and would be grateful for some clarification.

    For a problem where G=N, I should list {y : y = 2x & x ∈ N}. How is this done exactly?

    Thank you.
    N consists of the numbers {1, 2, 3, 4, 5, 6, ...}.

    You set consists of the doubles of those.
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  3. #3
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    HallsofIvy, thanks for the fast reply.

    So, do I understand this right, that the quantity of all elements y equals 2x - x being an element of N, which therefore doubles the set?

    Could a proof for this be something like {2x ⊆ 2N & 2N ⊆ 2x} ?
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