# Inequality

## Ordered Sets, Algebra Of Inequalities, Examples

In **mathematics**, an inequality is a statement about the relative order of members of a set. For instance, if S

is the set of positive **integers**, and the symbol < is taken to mean less than, then the statement 5 < 6 (read "5 is less than 6") is a true statement about the relative order of 5 and 6 within the set of positive integers. The comparison that is symbolized by < is said to define an ordering **relation** on the set of positive integers. An inequality is often used for defining a subset of an ordered set. The subset is also the solution set of the inequality.

## Additional topics

- Inequality - Ordered Sets
- Inequality - Algebra Of Inequalities
- Inequality - Examples
- Other Free Encyclopedias

Science EncyclopediaScience & Philosophy: *Incomplete dominance* to *Intuitionism*