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# Intersection of Compact Sets

In mathematics, set is the collection of different types of elements or objects. Different types of operations are performed on Sets like Union, intersection, difference, etc. There are different Types of Sets in Math one of which is compact sets. A Set which is completed by combining common elements of two or more given sets is known as Intersection. Intersection is represented by the symbol ‘∩’. Let we have two sets U and V then the representation of two sets is U ∩ V. Let’s define the ‘U’ and ‘V’ sets with the help of an example.
Set ‘U’ contains element such as 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
Set ‘Q’ contains element such as 3, 5, 7, 8, 9, 12, 19, 23, 24, 15, 17, and 30.
So the intersection elements will be 3, 5, 7, 8, 9, 12, and 15 it is because 3, 5, 7, 8, 9, 12, and 15 elements are same in both the sets.
Let’s see another example to understand the intersection of two sets.
Example: - Suppose we have two sets U and V
Set U = 2, 3, 5, 8, 9, 12, 16, 19, 21, 23, 25, 27, 30, 35;
Set V = 1, 3, 9, 19, 21, 23, 29, 30, 34, 35, 31.
Then the intersection of both the set will be represented as U ∩ V = 3, 9, 19, 21, 23, 30, 35 because these elements are present in both the sets.
We can also calculate the intersection for more than two sets, in the intersection of three sets we take those Numbers which are common in all three sets. Suppose we have U, V and W three sets than they can be represented as U ∩ V ∩ W.