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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- Feb 14th 2010, 04:11 AMquantmoniBeginner'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. - Feb 14th 2010, 04:22 AMHallsofIvy
- Feb 14th 2010, 06:16 AMquantmoni
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 ⊆ 2**N**& 2**N**⊆ 2x} ?