# Inequalities

**
Inequalities
**
are mathematical sentences comparing two quantities that are
*
not equal
*
(or possibly not equal). There are five inequality symbols:

$x\ne 3$ | $x$ is not equal to $3$ |

$x<3$ | $x$ is less than $3$ |

$x>3$ | $x$ is greater than $3$ |

$x\le 3$ | $x$ is less than or equal to $3$ |

$x\ge 3$ | $x$ is greater than or equal to $3$ |

## Graphing Inequalities in One Variable

The solutions of inequalities can be graphed on the
number line
as
rays
. If the inequality is "strict" (
**
$<$
**
or
**
$>$
**
), we use an
**
open dot
**
to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities (
**
$\le $
**
and
**
$\ge $
**
), we use a
**
closed dot
**
to indicate that the endpoint
*
is
*
part of the solution.

**
Example:
**

See also compound inequalities and solving linear inequalities .