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.
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