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New page: An inequality is an equation where one side is not necessarily equal, or may not, to the other. These come in four kinds; # An equation which the left hand side is strictly greater t...
An inequality is an [[equation]] where one side is not necessarily equal, or may not, to the other.
These come in four kinds;
# An equation which the left hand side is strictly greater than the right denoted <math>></math>
# An equation which the left hand side is greater than or equal that the right denoted <math>\geq</math>
# An equation which the left hand side is strictly less than the right denoted <math><</math>
# An equation which the left hand side is greater than or equal that the right denoted <math>\leq</math>
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;
<math>-1\leq\cos x\leq1\; \forall x\in\mathbb{R}</math>.
This gives the function [[bounds]].
==See also==
*[[Equation]]
These come in four kinds;
# An equation which the left hand side is strictly greater than the right denoted <math>></math>
# An equation which the left hand side is greater than or equal that the right denoted <math>\geq</math>
# An equation which the left hand side is strictly less than the right denoted <math><</math>
# An equation which the left hand side is greater than or equal that the right denoted <math>\leq</math>
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;
<math>-1\leq\cos x\leq1\; \forall x\in\mathbb{R}</math>.
This gives the function [[bounds]].
==See also==
*[[Equation]]