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Just remember to be careful with sign. A restaurant wishes to have at least one server for every 12 tables. There's no solution set or the solution set of the system is empty. The slope is 2, so it will look something like that. There's no point on the x, y plane that is in both of these solution sets. Similarly, draw a dashed line of related equation of the second inequality which has a strict inequality. Terms in this set (10). Want to join the conversation? Each of the tables in the restaurant seats four guests. Created by Sal Khan and Monterey Institute for Technology and Education. Recommended textbook solutions. 'Which system of linear inequalities is represented by the.
Demonstrate the ability to graph a linear inequality in two variables. If y is greater than mx+b, you shade the higher side and if the slope is nearly vertical, shade the right. Draw a dashed vertical line which is the related equation of the third inequality. The graph below shows the solution to Which system of inequalities? Gauth Tutor Solution. But as you can see, their solutions sets are completely non-overlapping. Why is my graphing calculator making X>1 different than the way your doing? If it does, you shade the side that point is on. Consider a point that is not on the line - say, - and substitute in the inequality.
Since that is a point you want to include, and you see that point is on the right, you would shade the area on the right. So it would be all of this stuff. This area up here satisfies the last one and the first one. But it is easy on a quick glance to forget that 0 is actually more than -5. Learn how to identify a system of linear inequalities with "no solution". So it would look something like this. The school auditorium has 900 seats. Which ordered pair is in the solution set of the system of linear inequalities graphed below? Still have questions? The related equation is. For example, if you have y>5, then if your test point is y =6, you find 6>5, which is true, so you shade that side.
2-4x +Y 2 4x + 1 Y <-3 ~4x +. So the solution set for this second inequality is going to be all of the area below the line. For any x, this is 2x minus 5, and we care about the y's that are less than that. After a couple times it will just click that x > any number is a dashed vertical line at that the point (0, that number) shaded on the right. This problem has been solved!
Solved by verified expert. They have the same slope. If they do, shade the half-plane containing that point.
Sets found in the same folder. Which inequality is represented by this graph? Here point satisfies the inequality, so shade the half that contains the point. The inequality x+y<= 900, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Sub in the origin (0, 0) and we get: 0 < 0 + 5, or 0 < 5. So the y-intercept right here is 1. So I could draw a bit of a dotted line here if you like, and we're not going to include the dotted line because we're strictly less than.