Video: Listing the Elements of a Set given in Venn Diagram

Video Transcript

Using the given Venn diagram, list the elements of set 𝑋.

The entire set is the set 𝑍, which would be all of the elements inside this box. Then there’s the set 𝑋. And all of its elements are inside this circle. And then inside of it, there’s the set 𝑌. And all of 𝑌’s elements are in this circle.

So we want all of the elements of set 𝑋. So all of the elements that are inside of the blue circle would be one and nine. But 𝑌 is actually inside of 𝑋. So that set is also in the set of 𝑋. So we also need the elements six, five, and three. Therefore, the elements of set 𝑋 will be one, nine, six, five, and three.