Question Video: Finding All Possible Subsets of a Given Set

Video Transcript

Find all subsets of 𝑋. And it includes elements 𝑎 and 𝑛.

So first of all, what is a subset? A set is a subset of another set if all the elements of the subset are included in the set. So here we have the set 𝑋. And we wanna write the subsets of it. Well, we can see that there is elements 𝑎 and 𝑛. So we can write those separately. But we could also have the set that includes both 𝑎 and 𝑛. Because that set fits into our set 𝑋.

Now, this may seem like it’s it. But there is one more thing. We must also include the empty set. Because even though it has no elements, that is a subset of a set. So these would be all subsets of the set 𝑋 with elements 𝑎 and 𝑛.