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In mathematics, an inequation is a statement that an inequality (mathematics), inequality holds between two values. It is usually written in the form of a pair of expression (mathematics), expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation. Some examples of inequations are: * a 1 * x \neq 0 In some cases, the term "inequation" can be considered synonymous to the term "inequality", while in other cases, an inequation is reserved only for statements whose inequality relation is "not equal to" (≠). Chains of inequations A shorthand notation is used for the conjunction (logic), 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 ~ ~ a < b ~ ~ \mathrm ~ ~ b \leq 1 which also implies that 0 < b and a < 1. In rare cases, chains without such ...
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Relational Operator
In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities. These include numerical equality (''e.g.'', ) and inequalities (''e.g.'', ). In programming languages that include a distinct boolean data type in their type system, like Pascal, Ada, or Java, these operators usually evaluate to true or false, depending on if the conditional relationship between the two operands holds or not. In languages such as C, relational operators return the integers 0 or 1, where 0 stands for false and any non-zero value stands for true. An expression created using a relational operator forms what is termed a ''relational expression'' or a ''condition''. Relational operators can be seen as special cases of logical predicates. Equality Usage Equality is used in many programming language constructs and data types. It is used to test if an element already exists in a set, or to access to a value th ...
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