Intersection of sets
The concept of intersection is not only limited to set theory. It is, in fact, a widespread mathematical concept. It is one of the prevalent concepts of Euclidean geometry and set theory.
Intuitively speaking, whenever we intersect two or more objects, it usually results in a smaller object.
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B.
Example-1:
Find A ∩ B when A = {5, 6, 7, 8} and B = {7, 8, 9, 10}.
Solution:
The common elements in both A and B are 7, 8
∴ A ∩ B = {7, 8}.
Example-2:
. Illustrate A ∩ B in Venn-diagrams where A = {1, 2, 3} and B = {3, 4, 5}.
Solution:
The intersection of A and B can be illustrated in the Venn-diagram as follows:
