Welcome to MooMooMath In this video I would
like to talk about inequalities on a number
line.
Before we get started lets look at the inequality
symbols.
This first symbol is equal to greater than.
For instance you can have 5 is greater than
4
I remember because this end is larger than
the other end.
So 5 is greater than 4
This next example is less than.
3 is less than 5
Again the end is smaller
If you were graphing this you it would be
open, which means the number is not included
For less than, again you have the open symbol
and it is a circle.
This next symbol is greater than and equal.
It could be 5 is greater than and equal to
one.
It is drawn on the number line with a closed
circle.
This next one is less than, and this one is
not equal to.
Lets go back over these again.
This one is greater,less, greater than and
equal, less than and equal, and this one is
not equal.
Sometimes you get an example on the number
line like this.
When you have two data sets in the opposite
directions you use or.
In this example since they are open it would
mean less than or greater than
Finally, with an example like this you use
and
Now lets look at some examples of inequalities
on a number line.
We will look at some graphs and then we will
look at some inequalities 
and graph them.
How would you write out the following.
It is open and is greater than so it would
be x greater than 6
This next one is closed which means it is
less than and equal to so x is less than and
equal to 4
This next example is open so you have x is
less than 4
This next example is in between so you will
use and.
You will have x is greater than 4 and less
than 8
Now this next example uses the word or so
it will be x is less than or equal to 3 or
greater than 8
Next we have x is less than 4 because it is
open
This next one is in between so it would be
an and statement and it is closed x is greater
than and equal to 3 and x is less than 7 .
Finally, what do we do with an example like
this?
This would be x is not equal to 5
It can be every other number except 5
Now lets move on to another of graphing inequalities
on a number line.
I have inequalities and I need to graph them
on the number line.
x is greater than 4
We are at 4, and do we use open or closed?
open because 4 is not part of the data set.
How about x is greater than and equal to 4
which will be closed, and less than 8 which
is open.
It will be drawn like this.
x is less than 3 which is open, and x is greater
than and equal to 7
Any number except 7
Draw a circle around the 7 and then it goes
like this.
Hope this helps in graphing inequalities on
a number line
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