Inequality

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An inequality is an equation where one side is not necessarily equal, or may not, to the other.

These come in four kinds;

  1. An equation which the left hand side is strictly greater than the right denoted >
  2. An equation which the left hand side is greater than or equal that the right denoted \geq
  3. An equation which the left hand side is strictly less than the right denoted <
  4. An equation which the left hand side is greater than or equal that the right denoted \leq

For example, 4 is greater than 3, so either;

4>3

3<4

are true statements.

The inequalities are wildly used in more advanced mathematics for example the cosine function is always between -1 and 1 inclusive so you can write;

-1\leq\cos x\leq1\; \forall x\in\mathbb{R}.

This gives the function bounds.

See also

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