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It depends upon the inequality. All points on the line are those which are equal, thus:
- If the inequality is (strictly) "less than" (<) or "greater than" (>) then the points on the line are not included; however
- if the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
What else can I help you with?
When an inequality is graphed would you shade the line?
The line must be solid if the inequality is strict (less than or greater than). It must be a dashed line if otherwise (less than or equal to, greater than or equal to).
What are lines that overlap at every point when they are graphed?
They are the same line.
When you graph inequalities how do you know what to shade?
Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.
How is graphing a two variable inequality similar to graphing a one variable inequality?
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.
When graphing the solution set of an inequality on a number line what is used to show that an endpoint is not included in the solution set?
lol
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
How does the solution to an inequality differ from the solution to an equation?
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
What is the solution of a linear inequality called?
It can be a ray if it does not include the end point or a half line if it includes the end point.
Can a line segiment have holes or missing points?
Yes. Those lines are examples of when an inequality (≥ or ≤) is graphed.
When an inequality is graphed would you shade the line?
The line must be solid if the inequality is strict (less than or greater than). It must be a dashed line if otherwise (less than or equal to, greater than or equal to).
What are lines that overlap at every point when they are graphed?
They are the same line.
On a graph the solution of a system of a linear equations will be represented by what?
The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.
Ask us graphing a linear inequality the first step is to replace the inequality symbol with a(n) sign.?
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.
What are All points on a number line that represent the solution to an inequality?
solution set
When graphing an inequality what does a dotted line mean?
A dotted line in a graph of an inequality indicates that the boundary line is not included in the solution set. This typically occurs with inequalities using "<" or ">", meaning that points on the dotted line do not satisfy the inequality. In contrast, a solid line would indicate that points on the line are included in the solution set, as seen with "<=" or ">=".
What will the line be if the inequality has a line underneath it?
If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.
When you graph inequalities how do you know what to shade?
Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.
