The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
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 inequalities, you shade all areas that x and/or y can be. If the number is x, you shade left and right. If x is anywhere from -11 to ∞, then shade the area to the right of -11. If it is from -∞ to 5, shade the areas to the left of 5. If the number is y, then you go up and down, so if y is anywhere from 0 to ∞, shade all the areas above 0, and if it is from -∞ to 100, shade all the areas below 100. Combining x and y, usually restricts the areas you should shade. For example, if x is from -∞ to 7, and y is 3 to ∞, you would ONLY shade the areas that are to the left of 7 AND above 3.
strict inequality
Not greatly. To graph an inequality, you start off graphing the corresponding equality. It is only then that you select one side or the other (with or without the graph itself), as the region of interest.
When the value indicated by the circle is a valid value for the inequality.
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.
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
Shade upward if the inequality involves a "greater than" comparison. Shade downward if the inequality involves a "less than" comparison.
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
To graph inequalities, first, begin by rewriting the inequality in slope-intercept form (y = mx + b) if necessary. Next, graph the corresponding equation as if it were an equality, using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all solutions of the inequality.
When graphing inequalities, you shade all areas that x and/or y can be. If the number is x, you shade left and right. If x is anywhere from -11 to ∞, then shade the area to the right of -11. If it is from -∞ to 5, shade the areas to the left of 5. If the number is y, then you go up and down, so if y is anywhere from 0 to ∞, shade all the areas above 0, and if it is from -∞ to 100, shade all the areas below 100. Combining x and y, usually restricts the areas you should shade. For example, if x is from -∞ to 7, and y is 3 to ∞, you would ONLY shade the areas that are to the left of 7 AND above 3.
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
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.
its useful in graphing! equations, inequalities, ect pretty much graphing!
-5+8n<-101
strict inequality