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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.
What else can I help you with?
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 ">=".
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.
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.
Which inequality is shown in the graph?
To accurately determine which inequality is shown in the graph, I would need to see the graph itself. However, if the graph displays a shaded region above a line, it typically represents a "greater than" inequality (e.g., y > mx + b), while shading below the line indicates a "less than" inequality (e.g., y < mx + b). Additionally, if the line is solid, it indicates that the points on the line are included in the solution (≥ or ≤), whereas a dashed line indicates they are not (>, <).
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.
Which inequality symbols are represented by a solid line on a graph?
The graph of an inequality is a region, not a line.
What does a dashed line represent on a graph?
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
When will the graph of an equation inequality be a dotted line?
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
Can linear equations and linear inequality be solved the same way?
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
What is the difference between graphing a line and graphing an inequality?
when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.
Explain when to use a solid line as a boundary when graphing a linear inequality?
If the points that are ON the line satisfy the inequality then the line should be solid. Otherwise it should be dotted. Another way of putting that is, if the inequality is given in terms of ≤ or ≥, then use a solid line. If they are < or > use a dotted line.
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
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.
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.
In the fallowing inequality determine if the graph would contain a solid or dotted line then determine If the solution is above or below the line?
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
