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Set theory help needed

Need help please. I know a bijective function has an inverse but not sure what this is asking exactly?



What does it mean to construct a bijection? Could someone please go through this question?

Thanks...
Screen Shot 2017-12-27 at 16.09.49.png114.9KB
Original post by Kira Yagami
Need help please. I know a bijective function has an inverse but not sure what this is asking exactly?
What does it mean to construct a bijection? Could someone please go through this question?

Thanks...


Bijective relation is both injective (one to one) and surjective (for every element in the range there is at least one element in the domain)

So, can you think of a bijective function f:2X→P(X)f : 2^X \rightarrow \mathcal{P}(X) ?
Original post by RDKGames
Bijective relation is both injective (one to one) and surjective (for every element in the range there is at least one element in the domain)

So, can you think of a bijective function f:2X→P(X)f : 2^X \rightarrow \mathcal{P}(X) ?


Thanks, the question makes sense now, but I'm not sure how to do this...
Original post by Kira Yagami
Thanks, the question makes sense now, but I'm not sure how to do this...


Edit: Rewritten - better I think.

What does 2^X mean? Have a think on that.
(edited 6 years ago)

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