It means that the inequality is less than the value of the dashed line and is not equal to it.
In graphing, a solid line indicates that the points on the line are included in the solution set. This is typically used in the context of inequalities where the relationship is inclusive, such as ( \leq ) or ( \geq ). In contrast, a dashed line would indicate that the boundary points are not included in the solution.
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.
To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., < or >), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.
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.
A blue line with triangles is commonly referred to as a "blue dashed line" or "blue dashed triangle line." In graphics and design, it may represent a boundary, a path, or a guiding line, depending on the context. The triangles can indicate direction or movement along the line.
In graphing, a solid line indicates that the points on the line are included in the solution set. This is typically used in the context of inequalities where the relationship is inclusive, such as ( \leq ) or ( \geq ). In contrast, a dashed line would indicate that the boundary points are not included in the solution.
its different because they both repersent something.
The dashed boundary inducartes that the points on the boundary are not includedin 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.
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.
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.
Dashed yellow lines on the road indicate that passing is allowed when it is safe to do so.
The boundary line is solid. If not it will be a dashed line.
To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., < or >), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.
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.
A blue line with triangles is commonly referred to as a "blue dashed line" or "blue dashed triangle line." In graphics and design, it may represent a boundary, a path, or a guiding line, depending on the context. The triangles can indicate direction or movement along the line.
Dashed lines typically represent a range of concepts depending on the context in which they are used. In graphs or charts, they may indicate a trend, boundary, or threshold that is not solidly defined. In diagrams, dashed lines can signify a relationship or connection that is not direct or is conditional. Overall, they often convey a sense of uncertainty, approximation, or distinction from solid lines, which usually represent definite or established parameters.
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.