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Linear inequalities

The main application of linear inequalities is solving problems in which an unknown variable is dependent on a known variable. We solve linear inequalities by separating (sometimes described as "isolating") the unknown variable from the rest of the inequality. The unknown variable is usually, but not always, written as x.

An inequality of: 2x-57
in which x is the unknown variable, is a typical linear inequality with one unknown.

IMPORTANT: When you multiply or divide both sides of an inequality by a negative number, you must also flip the inequality sign.
REMEMBER: anything you do to one side of the inequality, you must also do to the other side of the inequality.

Linear inequalities contain one or more of the following symbols:
< less than
<= less than or equal to
> greater than
>= greater than or equal to

The solution to an inequality can be written in several ways:

Inequality notation:
X6

Interval notation:
[6,[PARSE ERROR: Undefined("Right")])

Set notation:
{X is a real number, X6}

Number line:
linear inequalities graph
Tiger Algebra shows you, step by step, how to solve linear inequalities containing one unknown. Simply enter an inequality and click the solve button.