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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 does a dashed boundary line indicate when graphing linear inequalities?
It means that the inequality is less than the value of the dashed line and is not equal to it.
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 a linear inequality on a coordinate plane different from graphing an inequality on a number line?
The first is 2-dimensional, the second is 1-dimensional.
How is graphing an inequality different from graphing a line on a coordinate plane?
Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.
When graphing a system of inequalities the line is dotted for the?
strict inequality
When to use a solid line as a boundary when graphing a linear inequality?
If it is <= or >=
What does a dashed boundary line indicate when graphing linear inequalities?
It means that the inequality is less than the value of the dashed line and is not equal to it.
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 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.
What is the feasible region in linear programming?
Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0
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.
How is graphing an inequality on a number line different from graphing an inequality on a coordinate plane?
The first is 2-dimensional, the second is 1-dimensional.
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
How is graphing a linear inequality on a coordinate plane different from graphing an inequality on a number line?
The first is 2-dimensional, the second is 1-dimensional.
How is graphing an inequality different from graphing a line on a coordinate plane?
Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.
When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
