### Video Transcript

Use the symbol for “is a subset of” or “is not a subset of” to fill in the gap. The Venn diagram shows the set of seven and four, what, 𝑍.

The Venn diagram shows two different shapes. There is the triangle which is labelled 𝑌. And inside the triangle we can see an oval labelled 𝑍. The question gives us a statement that isn’t complete. We’re told that the Venn diagram shows that a set containing the elements seven and four is either a subset of 𝑍 or is not a subset of 𝑍. We have to choose the correct symbol to complete the statement with.

This symbol is the one we use if we want to show that something is a subset of something else. We use the same symbol but with a line through it to show that something is not a subset of something else. The statement mentions the letter 𝑍. So, the part of the Venn diagram we need to be looking at is the oval. If we look at the oval we can see that the 𝑍 is a set, and it contains the elements five and seven. It doesn’t contain a number four which appears in the question. And so a set containing the elements seven and four is not a subset of 𝑍.

The symbol that we need to use in our answer is this one. 𝑍 only contains the elements five and seven. And so a set containing the elements seven and four is not a subset of 𝑍.