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 < x.
A picture of an inequality typically represents a mathematical relationship where one quantity is not equal to another, often illustrated on a number line or a graph. For example, on a number line, an inequality such as (x < 3) would be shown with an open circle at 3 and a shaded line extending to the left, indicating all values less than 3. In a graph, inequalities can create shaded regions, such as in systems of inequalities, where solutions to the inequalities are visually represented. Overall, these visual representations help to clarify the concept of inequality in a more intuitive way.
true
Pick a sample point in the shaded area and plug it into the equation and see if it makes it true.
If it is y is greater than then it is above the line. If it is x is greater than then it is to the right.
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 < x.
The graph of an inequality is a region, not a line.
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.
See the accompanying answer:
One variable inequality- graph the point on the number line then choose a point on the point, to the left and to the right to see what gets shaded. Two variable inequality- graph the line on grid paper then choose a point on the line, to the left and to the right to see what gets shaded.
it is called a half plane :)
True
true
Pick a sample point in the shaded area and plug it into the equation and see if it makes it true.
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.
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If it is y is greater than then it is above the line. If it is x is greater than then it is to the right.