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Mazzy A.

asked • 10/21/20

Set Theory and Lists

If A = {b, {b}, ∅} how would we use list notation to write {B: B ⊆ A and B ∅}

If you could explain what I need to do to solve this that would be much appreciated.



1 Expert Answer

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Mazzy A.

Thanks! I think the part that was confusing me was the usage of ‘B: B ⊆ A‘ because the letter b was also used in the elements. Is it irrelevant what letter is used in the second part? I.e. in ‘B: B ⊆ A’ the B is just used as a place holder, it could have easily been X, etc. Does it mean everything that is in B is also in A, which is why you listed all the subsets of A?
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10/22/20

Nikolaos P.

tutor
You are correct. The small letter b and the capital letter B are used to represent different quantities. Instead of B they could have used X or Y or Z or you could give it any name you like. Also, the notion of "being a subset" it means that all your elements are elements of the bigger set too.
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10/22/20

Mazzy A.

Great, thanks!
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10/22/20

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