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# Are graphed linear inequalities supposed to be shaded?

Updated: 12/22/2022

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Q: Are graphed linear inequalities supposed to be shaded?
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### When solving a system of linear inequalities what does the region that is never shaded represent?

It represents the solution set.

### How are solutions linear inequalites determined graphically?

Graph both inequalities and the area shaded by both is the set of answers.

overlap

true

### 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.

### What are examples of feasible region?

the feasible region is where two or more inequalities are shaded in the same place

### What is the difference between the ordered pairs that fall on the line and the ones that fall in the shaded area?

The answer depends onwhether or not the lines represent strict inequalities,what the shaded area represents.

### 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 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.

plane

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

it is called a half plane :)

### How do you grid inequalities?

Graph as though the inequality is an equality. Then, find a point on one side of the line and see if it makes the inequality true. If it is true then that side gets shaded.