Identity Definition

An identity is a relation which is tautologically true. This is usually taken to mean something that is true by definition, either directly by the definition, or as a consequence of it. An equation which is true for every value of the variable is called an identity equation. An inequality which is true for every value of the variable is called an identity inequality.

Identity definition: Identity definition is *An identity is an equality that remains true regardless of the values of any variable that appear within it, to distinguish it from an equality which is true under more particular conditions. ... The basic Number Properties (or laws) that apply to arithmetic operations are Commutative Property, Associative Property, Identity Property and Distributive Property. When a set possesses an identity element for a given operation, the mathematical system of the set and operation is said to possess the identity property for that operation.

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