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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Originally Posted by quantmoni 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.
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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