Graphing inequalities provides us a snapshot of every one of the solutions. For example, if x>3 , then numbers such together 4, 5, and 6 room solutions, however there room a lot more than these. What around decimals and higher numbers? A graph can offer a photo of all these solutions. Here is the graph the x>3 :
*
As you have the right to see, there is an arrow above all the numbers three and greater going in the direction of the right. Over there is an arrow on the end indicating the the answers proceed through infinity. Notice that there is an open up circle over the 3. This is open up to display that the number 3 chin is no a solution (because 3 is not higher than 3), but that the answers start right after 3.Let"s consider an additional example: exactly how would us graph x≤-1 ? Well, let"s think what numbers are less than or same to -1. Is -1 itself a solution? Yes, due to the fact that the prize is much less than or equal to. Therefore, we are going to placed a heavy dot above -1 rather of an open circle. This will show that -1 chin is a solution. Next, we"ll have to decide which means the arrow points. The numbers that are much less than -1 room -2,-3,-4, etc., so the arrowhead will allude down come the left.

You are watching: Open or closed dot on number line

*
Here is a an overview of exactly how to graph inequalities:
For ≤ and also ≥ , use a closed period to suggest the number itself is component of the solution.For , usage an open up circle to indicate the number itself is not part of the solution.
3)Choose which means the arrowhead should go.
Either think about which numbers would certainly be part of the solution. Or, as long as the change is listed first, you have the right to just look in ~ the symbol
1)Draw a number line2)Should we usage a period or a circle? Answer:
use a circle because the price is placed this circle over the 6.3)Should the arrow go down to the left or as much as the right?
Answer:
because the symbol is Does her graph look favor this one?
*
Practice.

See more: What Is 3 Out Of 15 Is What Percent Age Calculator: 3 Is What Percent Of 15

Graph the following on a different sheet the paper.
Answers:
1)
*
2)
*
3)
*
4)
*
5)
*

Related Links:Math AlgebraInequalities Algebra topics addressing inequalities with addition Solving inequalities through multiplication/divisionSolving multi-step inequalitiesSolving Inequalities

To connect to this Graphing direct Inequalities page, copy the complying with code to her site: