We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.
How to graph a system of inequalities?
First, we have the system:
y > (2/3)*x + 3
y ≤ -(1/3)*x + 2
Let's analyze each one individually.
In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.
In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.
The graph of the system of inequalities can be seen below.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
