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When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
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.
Why is graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality?
because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.
Which lists all the integer solutions of the inequality of 3?
The question cannot be answered since it contains no inequality.
When graphing inequalities where can solutions be found?
I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
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.
Is it possible to check all the numbers that are solutions of an inequality?
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
Why is graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality?
because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.
Which lists all the integer solutions of the inequality of 3?
The question cannot be answered since it contains no inequality.
Can you check all the solutions of an inequality by substitution?
no only via it is merely possible!
Which is true of the infinite solutions of the inequality X0?
The statement "X0" is unclear, but if you are referring to an inequality such as x > 0 or x ≤ 0, it indicates that there are infinite solutions within the specified range. For instance, if the inequality is x > 0, the solutions include all positive real numbers. These solutions can be represented on a number line or in interval notation, such as (0, ∞) for x > 0.
What are the characteristics of the graph of the inequality x 4.5?
The graph of the inequality ( x < 4.5 ) is a vertical line drawn at ( x = 4.5 ), with a dashed line indicating that the line itself is not included in the solution set. The region to the left of this line represents all the values of ( x ) that satisfy the inequality. Therefore, the area shaded will extend infinitely to the left, indicating that all ( x ) values less than 4.5 are solutions.
Which inequality represents all values of x for which the product below is defined?
Which inequality represents all values of x for which the quotient below is defined?square root of 28(x-1) divided by square root of 8x^2
What does the graph of a line represent?
It represents all solutions to the linear equation.
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
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.
How do graph inequalities on a grid?
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
