Relation of inequality between two quantities with different values.

Binary relation in a set that allows us to compare its elements to one another in a coherent way.

### Properties

- A set equipped with an order relation is an ordered set.

It is also said that the relation defines an order structure or simply an order on this set. - An order relation in a set E is a relation that is both antisymmetric and transitive.

### Notations

- The symbol “<” is read as: “
**is less than**“. - The symbol “>” is read as: “
**is greater than**“.

These two relations of inequality can be translated in different ways:

- 3 comes before 5
- 5 comes after 3
- 3 is the predecessor of 4
- 6 is the successor of 5
- 4 comes immediately before 5
- 4 comes immediately after 3
- 4 is located between 3 and 5

### Examples

- The relation 3 < 5 is read as: “three
**is less than**five”. - The relation 5 > 3 is read as: “five
**is greater than**three”.