Answer:
Solution to system of inequalities is y≥ 3x-2
Graph attached
Explanation:
We have the following two inequalities:
y>-3x-5
y≥ 3x-2
To get the solution and graph
1. Graph each inequality separately
2. Choose a test point to determine which side of the line needs to be shaded
3. The solution will be the area where the shadings from each inequality overlap one another
The graph is attached. The heavily shaded region is the set of all points which satisfy all inequalities
We see that any point that satisfies y≥ 3x-2 also satisfies y>-3x-5
In other words, the solution set for y≥ 3x-2 is a subset of the solution set for y>-3x-5