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## Definition: Equality, Inequality

An equation between two mathematical objects, quantities or variables $x$ and $y$ is written as $x=y$. It expresses the equality between these quantities (mathematical objects, or variables), i.e. an assertion that they are the same or have the same values. If $$x=y$$, we say that $$x$$ equals $$y$$.

If $$x$$ does not equal $$y$$, we write $$x\neq y$$ and call the relation $$x\neq y$$ an inequality.

| | | | | Contributors: bookofproofs | References: [1538]

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