Thursday, January 21, 2016

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 is greater than 3)
graphing inequalities 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.

graphing inequalities with or

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

graphing inequalities with and

Lets look at some more examples
x < 2
graph less than 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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