Video: Finding the Intersection of Given Sets Using Venn Diagrams

Find ๐ด โˆฉ ๐ถ using the Venn diagram.

01:48

Video Transcript

Find ๐ด intersection ๐ถ using the Venn diagram.

First, we need to know this little upside-down โ‹ƒ. This symbol โ€” the intersection symbol โ€” tells us that weโ€™re looking for values found in both ๐ด and ๐ถ. The space here between ๐ด and ๐ต with the numbers 11 and six is the intersection of ๐ด and ๐ต. The numbers 11 and six are found in set ๐ด and in set ๐ต. The numbers 10 and eight are the intersection of ๐ต and ๐ถ. 10 and eight are found both in set ๐ต and in set ๐ถ. And weโ€™re trying to determine are there any values that are found in set ๐ด and in set ๐ถ.

Letโ€™s list out the values of set ๐ด. Set ๐ด is four, five, six, nine, 11. We can do the same thing for set ๐ถ โ€” set ๐ถ: zero, two, seven, eight, and 10. Now, is there any number thatโ€™s found in both ๐ด and ๐ถ? ๐ด and ๐ถ donโ€™t share any values. When two sets do not share any values, their intersection is called the empty set. We also might call this the null set.

The intersection of set ๐ด and set ๐ถ is the empty set.

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