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B) 5x + y ≥ 1(C) 5x + y ≤ …. The school auditorium has 900 seats. So that's the first inequality right there. Check the full answer on App Gauthmath. Answered step-by-step. 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. If the inequality is not strict ( or), graph a solid line. They have the same slope. Recent flashcard sets. The equation " 3x < y " would have the following graph: It would have a y-intercept of 0 and increase at a rate of 3/1. The graph below shows the solution to Which system of inequalities? Example 1: Solve the system of inequalities by graphing: First, graph the inequality. A restaurant wishes to have at least one server for every 12 tables.
Does the answer help you? Solved by verified expert. Finally, pick one point that is not on either line ( is usually the easiest) and decide whether these coordinates satisfy the inequality or not.
If not, you could also think of it as taking any y, the x coordinate =1, so pick any two y such as 2 and 3. Draw a dashed vertical line which is the related equation of the third inequality. This is x is equal to 1, so we put a dotted line there because we don't want include that. Oy sx-2 and y > x + 1. Feedback from students. Can somebody please help me? Good Question ( 161). So the y-intercept right here is 1. This is the solution that I have. So 2x minus 5, the y-intercept is negative 5. x is 0, y is negative 1, negative 2, negative 3, negative 4, negative 5. If it doesn't, you shade the other side.
To graph a linear inequality in two variables (say, and), first get alone on one side. Obviously false - don't shade this side. That is, the xs and ys just disappear! Demonstrate the ability to graph a linear inequality in two variables. For example: 7y < (3/2)x - 5. becomes: 0 < -5. 1 1 1 1 1 1 51;: 0 B 9 0 0'. So the solution set for this second inequality is going to be all of the area below the line. Memorize these facts: If the inequality is < or > (with no equal to), the line is dashed. The solution of the system of inequalities is the intersection region of the solutions of the three inequalities. This is true, (0 is less than 5), so the side with the origin should be shaded.
Since the inequality is, not a strict one, the border line is solid. Shade upper half of the line. How do you tell which side of the line that you shade? Each of the tables in the restaurant seats four guests. Consider a point that is not on the line - say, - and substitute in the inequality. Example 2: Rewrite the first two inequalities with alone on one side. And not for what you asked. Which point is in the lower right double cross hatched area? This area up here satisfies the last one and the first one. The solution to each inequality is cross hatched it is DOUBLE cross hatched is the area that satisfies BOTH inequalities.... if you graph the given points, the one(s) located in the double cross hatched area ( lower right) is a point which satisfies both inequalities.... is YOUR question to point is in the double hatched area?
Y<3 x+1$$2 x+y \geq 4$C. Graph each of the inequalities in the system in a similar way. For any x, 2x plus 1 will be right on the line, but all the y's greater than that are also valid. Other sets by this creator. If x is the number of servers and y is the number of guests, which inequality represents the restaurant's desired relationship of the number of servers to the number of guests? Now let's do the second inequality.