Use ⊂ or ⊄ to fill in the gap: The Venn diagram shows the element two is blank 𝑌.
So 𝑌 is the set that includes elements inside this triangle. So 𝑌 includes elements seven, five and it also includes nine and two. Yes, it is true that nine and two are actually elements of 𝑍. But 𝑍 is inside of the set 𝑌. So we actually have that 𝑍 ⊂ 𝑌.
But what is a subset? It means that all of the elements that are in 𝑍 are also in 𝑌. And our question is asking us to fill in the blank: two blank 𝑌. So is two a subset of 𝑌? Is it included in the set of 𝑌? Yes, it is. It’s found here.
Since two is included in the set 𝑌, two would be a subset of 𝑌. So the symbol that we need to use to fill in the gap will be this one, meaning it is a subset of the set 𝑌.