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Why is it usually only necessary to test one point when graphing an inequality?
Wiki User
∙ 14y ago
One point in each interval. An entire interval, between two critical points, either fulfills, or doesn't fulfill, the inequality.
For example, (x-3)(x+5) > 0; the corresponding equality is (x-3)(x+5) = 0, with the two critical points x = 3 and x = -5. The intervals that must be checked are x < -5, x between -5 and 3, and x > 3.
Wiki User
∙ 14y ago
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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.
What is the process of locating the position of a point on a coordinate plane?
Graphing or plotting.
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.
Why is the origin important when graphing points on the coordinate plane?
It is because all measurements are taken from that point: it is the fixed point of reference.
Can equality or inequality define the interval on a number scale?
An equality defines a specific point (or points). An inequality can define an interval.
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.
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
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.
How do you know whether to use an open circle or a closed circle when graphing an inequality and why?
An open or closed circle are used to graph an inequality in one variable. An open circle is used if the value at the end point is excluded from the feasible region while a closed circle is used if the value at that point is within the accepted region.
How do you determine which area of the graph of an inequality?
Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line. You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.
What is the process of locating the position of a point on a coordinate plane?
Graphing or plotting.
When graphing a linear inequality when can you NOT use (0 0) as a test point to determine which side of a boundary line to shade?
When the line goes through the origin like y>3x. Notice that there is no constant added to the end.
When graphing inequalities where can solutions be found?
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.
Why should you always start at the origin 00 when graphing a point?
newtest3newdiv
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.
The end points on a graph of a inequality?
point
Why is the origin important when graphing points on the coordinate plane?
It is because all measurements are taken from that point: it is the fixed point of reference.
