By analyzing the given system of inequalities, we will see that the graph that represents it is the graph in option 2.
Analyzing the system of inequalities:
Our system is:
y > (2/3)*x + 3
y ≤ -(1/3)*x + 2
So we have two lines, one with a positive slope (the first one) so, reading from left to right, it should go upwards.
The other has a negative slope, meaning that it goes downwards.
For the one with the positive slope, we can see that y is larger than the line, so the shaded region needs to be above that line (and the line must be a dashed line)
For the other case, y is smaller than or equal to the line, so we will have a solid line and the shaded region must be below the line.
With that in mind, we can see that the correct option will be the option 2.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
