Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.

We want to find the graph of a system of inequalities. We want to select the correct option, but sadly is really hard to interpret the given text, so I will add a graph of the system at the end.

The system is:

y ≤ -3x + 1
y ≤ (1/2)*x+ 3

To graph these we first need to graph the two lines:

y =-3x + 1

Is a line with a negative slope that passes through the y-axis at y = 1.

Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.

For the other equation:

y = (1/2)*x+ 3

We have a positive slope and this line intercepts the y-axis at y = 3.

Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.

With this in mind, we can graph the system, and you can see it below:

If you want to learn more, you can read:

https://brainly.com/question/19526736