Graph

-4x+y>-6
5y<=-x-20

Then give 2 ordered pairs that solve it& 2 ordered pairs that don't solve it

To graph the system of inequalities -4x + y > -6 and 5y <= -x - 20, we first need to rewrite them in slope-intercept form (y = mx + b) so that we can easily identify the slope and y-intercept of each inequality.

1. For -4x + y > -6:
Add 4x to both sides:
y > 4x - 6

2. For 5y <= -x - 20:
Divide both sides by 5:
y <= -1/5x - 4

Now, let's start by graphing the first inequality, y > 4x - 6:

1. Plot the y-intercept: -6. This is the point (0, -6).
2. Determine the slope, which is 4. Since it is positive, we will draw a solid line with a positive slope.
3. From the y-intercept, move up 4 units (using the slope) and one unit to the right. Plot another point.
4. Connect the two points with a solid line, extending it infinitely in both directions.

Next, we'll graph the second inequality, y <= -1/5x - 4:

1. Plot the y-intercept: -4. This is the point (0, -4).
2. Determine the slope, which is -1/5. Since it is negative, we will draw a dashed line with a negative slope.
3. From the y-intercept, move down 1 unit (using the slope) and five units to the right. Plot another point.
4. Connect the two points with a dashed line, extending it infinitely in both directions.

The shaded region where the two inequalities overlap represents the solution to the system of inequalities.

Now, to find two ordered pairs that solve the system, we can choose any two points within the shaded region. For example, (1, -2) and (2, -3) are two ordered pairs within the shaded region.

To find two ordered pairs that do not solve the system, we need to choose points outside the shaded region. For example, (0, 0) and (3, -5) are two ordered pairs outside the shaded region.

Note: The shaded region depends on the specific problem given. The provided graph and ordered pairs are just examples and may vary for different systems of inequalities.