When graphing a linear inequality a dotted line is used to?

Use a dashed line if < or > is used to indicate that the boundary is not part of the solution. Shade the appropriate region. Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line.

What do dashed line and shading mean when solving a real world inequality?

The boundary line. If points along the boundary line are included in the solution set, then a solid line is used; if points along the boundary line are not included then a dotted line is used. So, we shade the area above the line. The line is dashed, as points on the line don’t satisfy the inequality.

Which linear inequality will have a broken line when graphed?

Looking at the problem, the inequality symbol is “less than”, and not “less than or equal to”. Because of this, the graph of the boundary line will be broken or dashed. In addition, “less than” means we will shade the region below the line. That’s all there’s to it!

How do you graph inequalities with dots?

First, put a dot on the number line at the point of the number on the right of the inequality. Then draw a line with an arrow all the way to the right if the symbol is > or . Draw a line with an arrow all the way to the left if the symbol is < or . You can remember these by just thinking about what the symbols mean.

What does a dotted line mean on a graph?

Inequalities
If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line. This line divides the xy- plane into two regions: a region that satisfies the inequality, and a region that does not.

Is a dotted graph a function?

For example, the black dots on the graph in the graph below tell us that f(0)=2 f ( 0 ) = 2 and f(6)=1 f ( 6 ) = 1 . If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

What does the dotted line mean in a graph?

inequality
An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. For example, this graph shows the inequality .

What do open dots mean on a graph?

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7 because it’s not a valid answer (7 is not greater than itself).

When would you use a dot plot?

Use dot plots to display the distribution of your sample data when you have continuous variables. These graphs stack dots along the horizontal X-axis to represent the frequencies of different values.

Is a dotted line a function?

Earlier, you were asked how to identify asymptotes on a graph. Asymptotes written by hand are usually identified with dotted lines next to the function that indicate how the function will behave outside the viewing window.

What is the boundary line to be used in graphing?

Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes. This line is called the boundary line (or bounding line). The graph of a linear inequality is always a half‐plane.