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Whichever side contains all the numbers that satisfy the inequality.
Generally, "greater than" points to the right side of the line or above it,
and "less than" will lead to the left side or below it. But you have to be
careful, and it would really help a lot if you understood the whole concept
better than you presently do.
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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.
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.
Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
How do you graph the inequality w is greater than or equal to five?
-- Label the vertical (' y ') axis ' w '.-- Draw a horizontal line on the graph, passing it through the pointon the vertical axis where w=5.-- Draw gigantic light 'X's, or shadows or slanty lines or squiggles, everywhereabove the horizontal line, indicating that every point in that infinite half-planeabove the line, as well as every point on the line itself, is a solution of the inequality.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then 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.
How is graphing a linear inequality different than graphing a linear equation?
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
When doing algebra how do you know what region to shade?
Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.
How is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
How do you Draw the graph of y is greater than or equal to -x plus 5?
(1) First draw the line y = -x + 5.To do that, find two points that lie on the line. Well, when x = 0, y = 5, so plot (0,5) on the plane. When x = 1, y = 4, so plot (1,4). Now draw the only straight line that goes through both of those points. Because the inequality allows for points to lie on the line itself (that's the "or equals to" part), you can make the line solid. If it were just "greater than" (and not equals to) you would draw a dotted line.(2) Shade the correct side of the line.This line divides the plane in two. One side is all the points that satisfy the inequality; on the other side of the line none of the points satisfy the inequality. We will shade in the side that satisfies the inequality. To figure out which side it is, pick a point not on the line, like (0,0). Plug it into your inequality:y >= -x + 50 >= 0 + g0 >= 5This is not true, so shade the side of the plane that does not contain the origin.
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.
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.
How do you solve an inequality that has two different variables?
If this is school work, the solution is as follows: Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.
How would you find out which side of the like to shade?
To figure out which side of the line to shade in a drawing you must first identify the direction of the light source. Shading the side of the line that is farthest away and opposite to the light.
How do you grid inequalities?
Graph as though the inequality is an equality. Then, find a point on one side of the line and see if it makes the inequality true. If it is true then that side gets shaded.
Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
When graphing a linear inequality the first step is to replace the inequality symbol?
Well, you can replace the inequality with the equal sign, and draw the line (or curve, depending on the case) for the corresponding equation. The actual inequality will be either to one side or to one side of this line or curve. It may or may not include the actual line or curve.
