Solve the system of inequalities by graphing.
y≥2
y<4
Select a line to change it between solid and dotted. Select a region to shade it.
To solve the system of inequalities y≥2 and y<4, we will graph the two inequalities on a coordinate plane.
First, let's graph the line y=2. Since it is a "greater than or equal to" inequality, the line will be solid.
The graph of y=2 will be a horizontal line passing through the point (0,2).
Next, let's graph the line y=4. Since it is a "less than" inequality, the line will be dotted.
The graph of y=4 will be a horizontal line passing through the point (0,4), but it will be dotted to indicate that the line is not included in the solution.
Now, let's shade the region between the two lines, which represents the solution to the system of inequalities.
The shaded region will be bounded by the solid line y=2 and the dotted line y=4.
Overall, the graph should look like a shaded band between the lines y=2 and y=4, extending infinitely in the vertical direction.
Here is the graph of the system of inequalities:
```
|
4 -|...
|
2 -|___
|
|_____________________
| |
0 |
-2
```
The shaded region represents all the values of y that satisfy y≥2 and y<4.