I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
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
Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
Compound inequalities is when there is two inequality signs. You will regularly graph compound inequalities on a number line.
The line that includes whatever variables are included in the equation.
its different because they both repersent something.
It means that the inequality is less than the value of the dashed line and is not equal to it.
Which system of inequalities has a solution set that is a line?
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.
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
yes
1.First change it to an equality. 2.Next, graph the line from step 1 3. Pick a test point and see if it is true or not.
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.
I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
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
An graphing solution is basically drawing the solution (answer) on the graph. But remember, when it's < or > you draw a broken line something like this - - - - - - to show that it isn't included. If it's an included sign like < > but with another line below those signs then you draw a straight line without gaps ____________ like that. It's hard to show since my keyboard don't have mathematical symbols