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.
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Bibliography (further reading)
 Landau, Edmund: “Grundlagen der Analysis”, Heldermann Verlag, 2008