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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.
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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
Where to shade when graphing inequalities?
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.
When graphing a system of inequalities the line is dotted for the?
strict inequality
When graphing inequalities when do you have a closed circle?
When the value indicated by the circle is a valid value for the inequality.
Which of the inequalities is represented by the graph?
.08>0.4
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.
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 inequalities when do you shand upward and when do you shade downward?
Shade upward if the inequality involves a "greater than" comparison. Shade downward if the inequality involves a "less than" comparison.
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
Where to shade when graphing inequalities?
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.
When graphing an inequality with the symbol less than or equal to what is drawn?
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
When is slope-intercept form useful?
its useful in graphing! equations, inequalities, ect pretty much graphing!
What are 3 steps to graphing inequalities?
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 a system of inequalities the line is dotted for the?
strict inequality
What are the three steps to graphing inequalities?
-5+8n<-101
Graph the system of inequalities y-2 and x3?
Graph the following Inequalities: x > 3
How can you graph linear inequalities?
First put the inequality into the form ax + b < 0 or ax + b > 0 Next graph the equality y = ax + b which will be straight line. For the < case, shade the area below the line. For the > case , shade above the line. For <= or >= also shade the line itself.
