### Video Transcript

Using the Venn diagram, find not ๐ minus ๐.

So, what we are going to look at first is the notation used. And we can see that we have โfindโ and then weโve got ๐ prime minus ๐. And what this mean is โfindโ and then, because of the prime thatโs with the ๐, it is the complement of set ๐. What does that mean? Well, complement of set ๐ is the elements not in set ๐. And then, we subtract the elements that are in set ๐.

So, first of all, what weโre going to do is weโre gonna identify what is the complement of set ๐ so, i.e., the elements that are not in set ๐. So, the elements that are not in set ๐, weโve got seven, three, six, eight, and two. And the reason theyโre not in set ๐ is because if we have a look at the right-hand side of our Venn diagram, we got an oval. And within that oval, we have one and nine, which are elements only in set ๐, and five and four, which are elements that are both in set ๐ and set ๐. So therefore, the only ones that are not in set ๐ are seven, three, six, eight, two as we already said.

So, as we said, thatโs our not ๐. So, now, what weโre gonna have look at is the elements that are in set ๐. Well, Iโve circled these in green. And these are seven, three, five, and four. And we include five and four because theyโre both in set ๐ and set ๐.

So therefore, if we put this together, what weโve got is the elements that are not in set ๐, which is seven, three, six, eight, two. And then, weโre gonna take from them the elements that are in set ๐, which is seven, three, five, and four. Well, first of all, we can take the number seven away, cause this is an element in both, and then the number three, cause again this is an element in both. And weโre subtracting any element thatโs in set ๐ away from any element that is not in set ๐.

Well, the element which is the number five, this isnโt in not set ๐. So therefore, this wonโt change it. As is the same with number four because this is not in the set not ๐. So therefore, the elements weโre left with are six, eight, and two. So therefore, we can say that using the Venn diagram, we found that not set ๐ minus set ๐ leaves us with the elements six, eight, and two.