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Yes, graphed linear inequalities should be shaded to represent the solution set. The shading indicates all the points that satisfy the inequality. For example, if the inequality is (y > mx + b), the area above the line is shaded. If the inequality includes "less than or equal to" or "greater than or equal to," the line is typically solid; otherwise, it is dashed.
What else can I help you with?
How are solutions linear inequalites determined graphically?
Graph both inequalities and the area shaded by both is the set of answers.
In a system of nonlinear inequalities the solution set is the region where shaded regions?
overlap
In a system of nonlinear inequalities he solution set is the region where shaded regions?
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
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.
In a system of nonlinear inequalities the solution set is the region where shaded regions?
overlap
In a system of nonlinear inequalities he solution set is the region where shaded regions?
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.
What does linear inequality mean?
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥. It represents a range of values for which the linear expression holds true, often depicted graphically as a shaded region on one side of a line in a coordinate plane. Unlike linear equations, which have exact solutions, linear inequalities define a set of possible solutions. For example, the inequality (2x + 3 < 7) indicates that any value of (x) that satisfies this condition is part of the solution set.
In the graph of a linear inequality the shaded region above or below the line is called?
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.
Which points are solutions to the system of inequalities?
To determine which points are solutions to a system of inequalities, you need to assess whether each point satisfies all the inequalities in the system. This involves substituting the coordinates of each point into the inequalities and checking if the results hold true. A point is considered a solution if it makes all the inequalities true simultaneously. Graphically, solutions can be found in the region where the shaded areas of the inequalities overlap.
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 "
What graph represents the solution set of this system of inequalities?
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.
