Question Video: Using Venn Diagrams to Find the Relation between Two Sets | Nagwa Question Video: Using Venn Diagrams to Find the Relation between Two Sets | Nagwa

Question Video: Using Venn Diagrams to Find the Relation between Two Sets

Use ⊂ or ⊄ to fill in the gap: The Venn Diagram shows {2} _ 𝑌.

01:18

Video Transcript

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.

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