# CLASS-6SET - INTERSECTION OF SETS

INTERSECTION OF SETS -

The intersection of two or more sets, denoted by the symbol "", is a new set that contains only the elements that are common to all of the original sets.

For example, let's say we have two sets:

Set A = {1, 2, 3, 4} Set B = {3, 4, 5, 6}

The intersection of sets A and B, denoted as A ∩ B, will be:-

A ∩ B = {3, 4}

Notice that only the elements 3 and 4, which are present in both sets A and B, are included in the intersection.

The intersection operation is also commutative, meaning A ∩ B is the same as B ∩ A.

You can also find the intersection of more than two sets. For example, if you have three sets A, B, and C:-

A = {1, 2, 3} B = {3, 4, 5} C = {5, 6, 7}

Then, the intersection of these three sets (A ∩ B ∩ C) will contain only the elements that are present in all three sets.

A ∩ B ∩ C = { }

In this case, there are no elements that are common to all three sets, so the intersection is an empty set (denoted by "{ }").

The intersection of two or more sets, denoted by the symbol "", is a new set that contains only the elements that are common to all of the original sets. In other words, it includes all the elements that are present in every one of the given sets.

For example, let's say we have two sets:

Set A = {5, 6, 7, 8, 9} Set B = {3, 4, 5, 6}

The intersection of sets A and B, denoted as A ∩ B, will be:

A ∩ B = {5, 6}

Notice that only the elements 5 and 6, which are common to both sets A and B, are included in the intersection.

The intersection operation is also commutative, which means that the order of the sets does not matter. That is, A ∩ B is the same as B ∩ A.

You can also take the intersection of more than two sets. For instance, if you have three sets A, B, and C:

A = {1, 2, 3, 4, 5, 6, 7}, B = {3, 5, 7, 9}, C = {5, 6, 7, 8, 9}

Then, the intersection of these three sets (A ∩ B ∩ C) will contain only the elements that are common to all three sets.

A ∩ B ∩ C = {7}

In this case, the only element that is present in all three sets A, B, and C is the number 7, so it's the only element in the intersection.