# Graphing Inequalities on a Number Line ( The Basics)

Graphing  inequalities on a number line

An inequality shows that two expressions are not equal.
The following symbols are used to express inequalities.

The first symbol is not equal to ,  which may also be expressed as, does not, or, is not.

The second symbol is greater than or equal to   , also expressed as, at least,no fewer than, a minimum of, and no less than.

The next inequality symbol is less than or equal to   , it is also expressed as, at most,no more than,a maximum of, and any more than.

Up next is greater than >   which is also called, more than.

The last inequality symbol is less than <, which is sometimes called,fewer than.

On a number line if you have an open point means the number is NOT
included in the solution.
For example,
x>3
(x is greater than 3)

A closed point means the number is included in the solution.
x ≥ 3
x is greater than or equal to 3

If the inequality has
"OR," the graph points in two different directions.

If the variable is in the middle of two inequalities, the graph will be between the two
Points
4 < x < 9

Lets look at some more examples
x < 2

Remember the inequality symbol less than will not include the number 2, so it will be open and the 2 will not be included.

x ≥ 10

In order to graph this inequality it will be closed, and the 10 is included because it is greater than or equal to.

Inequalities : When to Flip the Signs