What does it mean when the line is dotted on a graph?

What does it mean when the line is dotted on 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 .

Can a solution be on a dotted line?

If the inequality symbol is greater than or less than, then you will use a dotted boundary line. This means that the solutions are NOT included on the boundary line.

What does no solution look like on a line graph?

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

What is the solution of a line on a graph?

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

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 is a dashed line?

Dashed line is made up of series of dots and short strokes with breaks in between them. You would draw a dashed line by draw a short line, then pick up your pencil and move it just a little, then put it down again and draw short stroke again etc. Dashed line is the area of sign.

How do you know if it’s not a solution?

Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients. The coefficients are the numbers alongside the variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

How do you tell if a graph has no solution?

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

What graph has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

How to graph Y alone on one side?

Rewrite the first two inequalities with y alone on one side. Now, graph the inequality y ≥ − 2 3 x + 4 . The related equation is y = − 2 3 x + 4 . Since the inequality is ≥ , not a strict one, the border line is solid.

How to graph a linear inequality in two variables?

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Is the border line of an inequality solid?

Since the inequality is ≤ , not a strict one, the border line is solid. Graph the straight line. Consider a point that is not on the line – say, ( 0, 0) – and substitute in the inequality y ≤ x − 2 . This is false. So, the solution does not contain the point ( 0, 0) .