# Inequation

In mathematics, an inequation is a statement that an inequality holds between two values.[1] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation. Some examples of inequations are:

$a < b,\,$
$x+y+z \leq 1,\,$
$n > 1,\,$
$x \neq 0.\,$

Some authors apply the term only to inequations in which the inequality relation is, specifically, not-equal-to (≠).[2]

## Chains of inequations

A shorthand notation is used for the conjunction of several inequations involving common expressions, by chaining them together. For example, the chain

$0 \leq a < b \leq 1\,$

is shorthand for

$0 \leq a~\mathrm{and}~a< b~\mathrm{and}~b\leq 1.\,$