When graphing inequalities, there are two rules. The first rule is that if the sign is greater than or less than, it is always an open circle. If the sign has 'equal to', it always has a closed circle. The reason for these two rules are because it tells whether the number is or not apart of the solution.

The sign that has 'equal to' is graphed with a closed circle because it's saying that that number is apart of the solution. That number including all the other numbers to the left or right is correct and it can be proven. So take 'm is greater than or equal to 5' as an example. All the numbers to the right of 5, including 5 is a solution. That is why the sign that has 'equal to' needs a closed circle when it is being graphed.

The sign that is greater than or less than is graphed with a open circle because it's saying that the number is not apart of the solution. That number and all the other numbers that is either to its left or right is not a solution to that problem. Take "k is less than 6" as an example. All the numbers to the left of 6 with be graphed with a open circle because it is saying that all the numbers to the right of it is less than six. It is not that diffcult once you learn it.

The sign that has 'equal to' is graphed with a closed circle because it's saying that that number is apart of the solution. That number including all the other numbers to the left or right is correct and it can be proven. So take 'm is greater than or equal to 5' as an example. All the numbers to the right of 5, including 5 is a solution. That is why the sign that has 'equal to' needs a closed circle when it is being graphed.

The sign that is greater than or less than is graphed with a open circle because it's saying that the number is not apart of the solution. That number and all the other numbers that is either to its left or right is not a solution to that problem. Take "k is less than 6" as an example. All the numbers to the left of 6 with be graphed with a open circle because it is saying that all the numbers to the right of it is less than six. It is not that diffcult once you learn it.