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Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.

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Q: When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
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Related questions

What is the graph of a linear inequality in two variables called?

A bivariate linear inequality.


How is graphing a linear inequality different than graphing a linear equation?

In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it


When graphing a linear inequality the first step is to replace the inequality symbol with a sign?

john


When to use a solid line as a boundary when graphing a linear inequality?

If it is <= or >=


How is graphing a linear inequality on a coordinate plane different from graphing an inequality on a number line?

The first is 2-dimensional, the second is 1-dimensional.


When graphing a linear inequality the first step is to replace the inequality symbol with what sign?

With the equal sign (=).


How do you describe the steps for graphing a two-variable linear inequality?

Hi


How is graphing a linear inequality the same as graphing a linear equality?

Because the question is tautological. You are asking how something is the same as that very samne thing!


Define solution of a linear inequality in two variable?

If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5


How many solutions does a linear inequality with two variables have?

Infinite.


How is graphing an inequality different from graphing a line on a coordinate plane?

Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.


When graphing a linear inequality what does a dashed boundary line indicate?

It means that the inequality is less than the value of the dashed line and is not equal to it.


How many solutions does a linear inequality in two variables have?

Infinitely many.


How is graphing a linear inequality the same as graphing a liner equation?

They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line


What are linear inequalities in two variables?

The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.


How are linear inequalities different from linear equations?

A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.


How is graphing a linear equality different from graphing linear equation?

They are the same.


What is the equation for a linear inequality?

A linear inequalty may be of the form a1x1 + a2x2 + ... + anxn < bwhere the ai and b are constants and the xi are variables. The inequality symbol can be <, >, ≤ or ≥.


What is the feasible region in linear programming?

Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0


What are the different ways of graphing linear equations in two variables?

slope intercept form, rise over run


The solutions to a linear inequality are the points in the plane that make the inequality true?

Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.


When graphing a linear inequality how do you know if the inequality represents the area below or above the line?

If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region, If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region,


-4 plus 2y-x?

The question contains a linear expression in two variables. It is not an equation (nor inequality) and so cannot be solved. Furthermore, with two variables, you need two linear equations.


How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?

A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.


Why is a linear equation shaded?

Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "