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In graphing, a solid line indicates that the points on the line are included in the solution set. This is typically used in the context of inequalities where the relationship is inclusive, such as ( \leq ) or ( \geq ). In contrast, a dashed line would indicate that the boundary points are not included in the solution.
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When graphing inequalities which inequality line is solid?
The line that includes whatever variables are included in the equation.
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 ">=".
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.
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.
How is graphing and graphing a line on a line segment on a coordinate plane different?
Graphing involves plotting points or shapes on a coordinate plane, representing various mathematical relationships. Graphing a line means drawing an infinite straight path extending in both directions, defined by a linear equation. In contrast, graphing a line segment involves drawing a finite portion of a line, characterized by two endpoints, and represents only the points between those endpoints. Thus, while both involve linear relationships, the scope and representation differ significantly.
When to use a solid line as a boundary when graphing a linear inequality?
If it is <= or >=
When graphing inequalities which inequality line is solid?
The line that includes whatever variables are included in the equation.
What is the difference between a dashed line and a solid line when graphing inequalities?
its different because they both repersent something.
Explain when to use a solid line as a boundary when graphing a linear in equality?
you use a solid line when the inequality is less than or equal to or greater that or equal to the dotted line is for less than or greater than
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.
How do you determine whether to use a solid or dashed line when graphing linear equation?
A dashed line is used when the equality is equal to and less than/more than. (≤, ≥) A solid line is used when the inequality is just less than/more than. (<, >)
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 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.
What is the most economic model?
line graphing
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.
How do you find the slope of a line without graphing?
guess it
What is graphing method?
In systems of equations, the graphing method is solving x and y by graphing out the two equations. x and y being the coordinates of the two line's intersection.
