When the value indicated by the circle is a valid value for the inequality.
I dunno an who cares! we use closed circles when we include the number on which it is and if we dont want to include it then we use open circle
An open or closed circle are used to graph an inequality in one variable. An open circle is used if the value at the end point is excluded from the feasible region while a closed circle is used if the value at that point is within the accepted region.
strict inequality
Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
When the value represented by the circle is part of the solution set.
A closed circle is when a range of numbers also includes that number and an open circle is when a range of numbers doesn't include that number, :)
In Algebra 2, an open circle typically represents a value that is not included in a solution set, often used in the context of inequalities or graphing functions. For example, when graphing a number line, an open circle at a point indicates that the value at that point is excluded, such as in the case of strict inequalities (e.g., (x < 3)). This contrasts with a closed circle, which signifies that the value is included in the solution set.
A closed circle on a number line or graph indicates that the endpoint is included in the solution set of the inequality. This typically represents inequalities that use "less than or equal to" (≤) or "greater than or equal to" (≥). In contrast, an open circle would indicate that the endpoint is not included. Thus, a closed circle signifies that the value at that point satisfies the inequality.
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
If the inequality is > or< then it is an open circle. If it is greater than or equal to or less than or equal to, it is a closed circle.
I dunno an who cares! we use closed circles when we include the number on which it is and if we dont want to include it then we use open circle
its useful in graphing! equations, inequalities, ect pretty much graphing!
An open or closed circle are used to graph an inequality in one variable. An open circle is used if the value at the end point is excluded from the feasible region while a closed circle is used if the value at that point is within the accepted region.
strict inequality
-5+8n<-101
Inequalities on a number line are represented using open or closed circles and shaded regions. An open circle indicates that the endpoint is not included (for strict inequalities like < or >), while a closed circle indicates inclusion (for inclusive inequalities like ≤ or ≥). The line is then shaded to show all numbers that satisfy the inequality, extending to the left for less than (< or ≤) and to the right for greater than (> or ≥).