In this video you will learn how to graph inequalities on a number line.
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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