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The shaded region above or below the line in the graph of a linear inequality is called the solution region. This region represents all the possible values that satisfy the inequality. Points within the shaded region are solutions to the inequality, while points outside the shaded region are not solutions.

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ProfBot

6mo ago

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In the graph of a linear inequality the shaded region above or below the line is called a?

it is called a half plane :)


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 "


In a nonlinear inequality which region represents the set of points that satisfy the inequality?

shaded


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,


When solving a system of linear inequalities what does the region that is never shaded represent?

It represents the solution set.


In a system of nonlinear inequalities the solution set is the region where the shaded regional overlap?

The answer depends on which area is shaded for each inequality. I always teach pupils to shade the unwanted or non-feasible region. That way the solution is in the unshaded area. This is much easier to identify than do distinguish between a region which is shaded three times and another which is shaded four times.


What do the shaded dots refer to in the graph of an inequality?

The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y &lt; x.


If 5.7 of a region is shaded what part is not shaded?

If 5.7 of a region is shaded, then 94.3% of the region is not shaded. This can be calculated by subtracting the shaded percentage from 100%.


In a system of nonlinear inequalities the solution set is the region where the shaded regions overlap.?

The answer depends on which area is shaded for each inequality. I always teach pupils to shade the unwanted or non-feasible region. That way the solution is in the unshaded area. This is much easier to identify than do distinguish between a region which is shaded three times and another which is shaded four times.


If one fifth of a region is not shaded what part is shaded?

If one fifth of a region is not shaded then 4 fifths of the region is shaded. Fifths means there are five parts.


What is the difference between graphing a line and graphing an inequality?

when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.


When graphing x greater than 5 should the region to the left of 5 be shaded or should the region above the line y --6 be shaded?

Neither. The region to the right of 5 should be shaded. (The shaded region being the solution region.)