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This convention helps because points that lie on a solid line in the graph ARE solutions to the inequality, whereas **points lying on a dotted line are NOT solutions**.**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. divides the plane into two half planes. In this case, it is shown as a dashed line, as the points on the line don’t satisfy the inequality.Solutions will be located in the shaded region. Since this is a “less than” problem, **ordered pairs on the boundary line are not included in the solution set**. These values are located in the shaded region, so are solutions. (When substituted into the inequality x – y < 3, they produce true statements.)

## Can solutions be on a solid 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. divides the plane into two half planes. In this case, it is shown as a dashed line, as the points on the line don’t satisfy the inequality.

## Can a solution be on the boundary line?

Solutions will be located in the shaded region. Since this is a “less than” problem, **ordered pairs on the boundary line are not included in the solution set**. These values are located in the shaded region, so are solutions. (When substituted into the inequality x – y < 3, they produce true statements.)

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## What do Dotted lines mean on a graph?

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**.

## Can a point on a dashed line be a solution to the system of linear inequalities?

Notice: We shade above (not below) because y is greater than the other side of the inequality. We draw a dashed line (not solid) because we aren’t dealing with an “or equal to” inequality. The dashed line indicates that **points on the line are not solutions of the inequality**.

## Is it a solution if it’s on the line?

The two equations graph as the same line. So **every point on that line is a solution for the system of equations**.

## When can a point be a solution of the system?

In other words, the solution is **the point where the two lines intersect**. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

## When graphed which linear inequality will give you a solid 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.

## See some more details on the topic Can a solution be on a dotted line? here:

### Can a solution of a linear inequality lie on a dashed boundary …

since the solution is a region of the plane, the dashed boundary line is not part of the solution. So, I’d have to say “no” to the poorly worded question.

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A blue dotted line with the region above shaded and. The purple area shows where the solutions of the two inequalities overlap. This area is the solution to …

### Systems of Linear Inequalities – Varsity Tutors

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 …

### Graphing Linear Inequalities – Algebra Class

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 …

## What is the boundary line?

A boundary line is **a line along which two areas meet**. A boundary line between privately owned parcels of land is usually termed a property line. A boundary line between political entities (such as counties, states, or countries) is usually termed a political boundary.

## What does a dotted line mean?

dotted line. noun. a line of dots or dashes on a form or document. sign on the dotted line **to agree formally, esp by signing one’s name on a document**.

## What is the dotted line used for?

Dotted lines are super attention grabbing. They also **convey a sense of uncertainty that can be useful**. The challenge is that dotted lines introduce some visual noise.

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## What is the dashed line called?

“Dashed line” means **a line made up of short strokes with breaks in between**. You would put the pencil down, draw a short distance, pick it up and move it just a little, then put it down and draw another short stroke, etc.

## Does dotted line mean greater than or equal to?

If the inequality is less than or equal to, or greater than or equal to, then draw a solid line. **If the inequality is less than or greater than (but not equal to), draw a dotted line.**

## What is a broken line in math?

A broken line, sometimes called a polygonal chain, is **a finite sequence of line segments joined consecutively endpoint to endpoint**.

## What does the dotted line on a parabola mean?

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line. Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that **the region does not include its boundary**.

## When can you say that a system of linear inequalities has a solution no solution?

Systems of inequalities can have no solutions **when boundary lines are parallel**.

## How do you know a point is a solution to the inequality?

To see if an ordered pair is a solution to an inequality, **plug it into the inequality and simplify**. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.

## What does no solution look like?

Sometimes we use the symbol Ø to represent no solutions. That symbol means “**empty set**” which means that the set of all answers is empty. In other words, there is no answer. So if we want to use Ø to represent no solution, we may.

## What does no solutions look like on a graph?

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.

## What does no solution mean?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that **there is no value, not even 0, which would satisfy the equation**. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.

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## Which equation has no solution?

When a problem has no solution you’ll end up with a statement that’s false. For example: **0=1** This is false because we know zero can’t equal one. Therefore we can conclude that the problem has no solution.

## Which systems of equations have no solution?

**An inconsistent system of equations** is a system of equations that has no solution.

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