Video: Verifying Whether an Element Belongs to a Set Using Venn Diagrams

Video Transcript

Use ∈ or ∉ to fill in the gap. The Venn diagram shows six blank 𝑌.

So here we have our symbols. So, the first one means “in.” And the second one means “not in.” So we want to know is six ∈ 𝑌 or six ∉ 𝑌.

So looking at our Venn diagram, we need to find the number six. And it’s here. And it’s in the set 𝑍. But 𝑍 is actually a subset, so a set inside of 𝑋. And we wanted to know if six was in the set 𝑌. However, six is not inside of that blue circle. Therefore, six is not in 𝑌. Therefore, we would use this symbol.