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In mathematics, an inequation is a statement that two objects or expressions are not the same, or do not represent the same value. This relation is written with a crossed-out equal sign as in

Verbally it may be spoken as "does not equal," or "is unequal to." In programming languages and electronic communications, the notations

and others, are used instead.

Some sources[1] use the term term inequation synonymously with inequality. Others[2] include ≠ as a type of inequality. In a linearly ordered set, any inequation implies an inequality: if xy then x < y or x > y by the trichotomy law.


Some useful properties of inequations in algebra are:

See also


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