Inequality: 2.5x+2.5y >150 graphed
To graph the inequality 2.5x + 2.5y > 150, we will start by graphing its boundary line, which is the line 2.5x + 2.5y = 150.
To graph this line, we need to find two points on it. Let's assume x = 0 and find y:
2.5(0) + 2.5y = 150
2.5y = 150
y = 150 / 2.5
y = 60
So one point on the line is (0, 60).
Now, let's assume y = 0 and find x:
2.5x + 2.5(0) = 150
2.5x = 150
x = 150 / 2.5
x = 60
So another point on the line is (60, 0).
We can now plot these two points on a coordinate plane and draw the line passing through them:
```
(60, 0) -------------- (0, 60)
```
To determine which side of the line is shaded, we need to pick a test point. For simplicity, let's choose the origin (0, 0). We substitute the coordinates of (0, 0) into the inequality to check if it satisfies the inequality:
2.5(0) + 2.5(0) > 150
0 + 0 > 150
0 > 150
Since 0 is not greater than 150, the origin is not a solution to the inequality. Therefore, the side of the line containing the origin is NOT shaded.
The graph should look like this:
```
(60, 0) -------------- (0, 60)
```
However, the area above the line represents the solutions, and it is not shaded in the graph but left blank.