Page 9 - Introduction-to-Set-Theory _Main.pdf10001_Neat

Set Operations: Intersection

The intersection of two sets A and B, denoted by A ∩ B, is the
set of all elements that are in both A and B. This operation
identifies the common elements between two sets.
For example, if A = {1, 2, 3} and B = {3, 4, 5}, then A ∩ B = {3}. The
intersection operation is also commutative, meaning A ∩ B = B
∩ A.

1 Definition

A ∩ B contains elements present in both A and B

2 Example

If A = {1, 2, 3} and B = {3, 4, 5}, then A ∩ B = {3}

3 Property

Intersection is commutative: A ∩ B = B ∩ A