Inequation

In mathematics, an inequation is a statement that either an inequality (relations "greater than" and "less than", < and >) or a relation "not equal to" (≠) holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between the two sides, indicating the specific inequality relation. Some examples of inequations are:

• ${\displaystyle a<b}$
• ${\displaystyle x+y+z\leq 1}$
• ${\displaystyle n>1}$
• ${\displaystyle x\neq 0}$

In some cases, the term "inequation" has a more restricted definition, reserved only for statements whose inequality relation is "not equal to" (or "distinct").