**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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[1538] **Landau, Edmund**: “Grundlagen der Analysis”, Heldermann Verlag, 2008

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