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In the graph of a linear inequality the shaded region above or below the line is called?
ambot
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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 :)
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
In the graph of a nonlinear inequality the xy-plane is divided into shaded and unshaded regions True of false?
True
What inequality is graphed on this number line?
To determine the inequality graphed on a number line, you would need to identify the points marked on the line and the direction of any arrows or shading. If the line is shaded to the left of a point (for example, -2) with an open circle, it represents the inequality ( x < -2 ). If it’s shaded to the right with a closed circle, it would indicate ( x \geq -2 ). Please provide specific details about the graph for a more precise answer.
Find the area of the shaded region 40 degrees and raduis 9 cm in a circle use pi 3.14?
Sure thing, darling! To find the area of the shaded region in a circle with a central angle of 40 degrees and a radius of 9 cm, you first calculate the area of the entire circle using the formula A = πr^2. Then, you find the fraction of the circle that the shaded region represents, which is 40/360. Multiply this fraction by the total area of the circle to get the area of the shaded region. Easy peasy lemon squeezy!
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,
Are graphed linear inequalities supposed to be shaded?
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 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.
What inequality represents the graph?
To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes "≤" or "≥," while a dashed line indicates "<" or ">". The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.
How do you differentiate linear inequalities in two variables from linear equations in two variables?
Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.
How is graphing a linear inequality in two variables different from graphing a linear equation in two variables?
Graphing a linear equation in two variables results in a straight line, representing all the solutions that satisfy the equation, while graphing a linear inequality produces a region on one side of the line that includes all the solutions satisfying the inequality. The line itself is solid if the inequality is ≤ or ≥, indicating that points on the line are included, or dashed if the inequality is < or >, indicating that points on the line are not included. Additionally, the area shaded represents all the combinations of values that satisfy the inequality, contrasting with the single line for an equation.
When we graph a system of two linear inequalities any point in the doubly shaded region has coordinates that contain both inequalities?
In a graph of a system of two linear inequalities, the doubly shaded region represents the set of all points that satisfy both inequalities simultaneously. Any point within this region will meet the criteria set by both linear inequalities, meaning its coordinates will fulfill the conditions of each inequality. Consequently, this region illustrates all possible solutions that satisfy the system, while points outside this region do not satisfy at least one of the inequalities.
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
If everything to the left of -9 on a graph is shaded which inequality is represented?
If everything to the left of -9 on a graph is shaded, the inequality represented is ( x < -9 ). This means that all values of ( x ) that are less than -9 are included in the solution set. The shaded region on the graph indicates that the inequality does not include -9 itself, which is typically represented by an open circle at that point.
