Sets and Relations
Sets are the values that are arranged collectively. And relations are relationship that connects the values of two sets. So sets and relations are connected to each other. For example, if we are given two sets
- Set A = {-2, -1, 0, 1, 2}
- Set B = {2, 3, 4, 5, 6}
Then the relation that connects the two sets, set A and set B,
R = {(-2, 2), (-1, 3), (0, 4), (1, 5), (2, 6)}
What are Relations?
Relation in mathematics is defined as the well-defined relationship between two sets. The relation connects the value of the first set with the value of the second set. We represent relation in mathematics using the ordered pair. If we are given two sets Set X and Set Y then the relation between them is represented using the ordered pair (x, y) such that, x ϵ X and y ϵ Y.
Relations are used in mathematics, statistics, and data sciences. It is an integral part of RDBMS (Relational Database Management Systems) that is used in searching, storing, and sorting large data.
In this article, we will learn about, Relation in Mathematics, Example of Relation, Types of Relation, and others in detail.
Table of Content
- What is Relation in Mathematics?
- Relations Examples
- Representation of Relations
- Sets and Relations
- Types of Relation
- Graphing Relations