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”.