The dashed boundary inducartes that the points on the boundary are not included
in the region which it bounds.
This would be the case when the inequality says that one side is (more or less) than ...
but not equal to ... the other side.
The boundary line is solid. If not it will be a dashed line.
slide
line style
It is 80 cm2.
This diagram is an example. The bolded lines are the lines you should draw._________ __________|/////////////|////////////////||/////////////|////////////////||/////////////|////////////////||/////////////|////////////////||-----------|-------------|Note: The top solid lines should be drawn, and the dashed lines on the bottom would be drawn, also. The slashes are just filling.
It means that the inequality is less than the value of the dashed line and is not equal to it.
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.
I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
A dashed line is used when the equality is equal to and less than/more than. (≤, ≥) A solid line is used when the inequality is just less than/more than. (<, >)
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
The boundary line is solid. If not it will be a dashed line.
its different because they both repersent something.
dashed
If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.
Any line divides the Cartesian plane into two parts. When deciding whether the line should be solid or dashed, think of the points on the line. If these points are not in the permitted region then it will be a dashed line, otherwise it will be a solid line. Usually this will mean that a strict inequality is dashed.
To graph the inequality ( x < 3 ), you would start by drawing a vertical dashed line at ( x = 3 ). The dashed line indicates that points on the line are not included in the solution. Next, shade the region to the left of the line, which represents all values of ( x ) that are less than 3. This shaded area shows the solution set for the inequality.