The inequalities are widely used in more advanced mathematics for example the [[cosine function]] is always between -1 and 1 inclusive so you can write;
+
The inequalities are widely used in more advanced mathematics for example the [[cosine function]] is always between -1 and 1 inclusive so you can write:
This gives the function's [[bounds]]. '<math>\forall x\in\mathbb{R}</math>' means that the preceding inequality is true for all [[Real numbers|real]] values of <math>x</math>.