Answer:
To graph the solution to the system of inequalities y < -x - 3 and y > 2x - 4, we need to graph the two inequalities on the same coordinate plane and shade the region that satisfies both inequalities simultaneously.
The first inequality, y < -x - 3, represents a line with a slope of -1 that passes through the points (-3, 0) and (0, -3). The inequality indicates that all the points below this line satisfy the inequality. Therefore, the shaded region for this inequality is below the line.
The second inequality, y > 2x - 4, represents a line with a slope of 2 that passes through the points (0, -4) and (2, 0). The inequality indicates that all the points above this line satisfy the inequality. Therefore, the shaded region for this inequality is above the line.
To find the region that satisfies both inequalities, we need to shade the region that is below the first line and above the second line. This region is the triangular region in the middle of the graph.
Here is a graph that represents the solution to the system of inequalities:
```
| /
| /
| /
| /
| /
| /
| /
|/
----+------------->
| |
-4 4
```
In this graph, the shaded region represents the solution to the system of inequalities y < -x - 3 and y > 2x - 4.