The given inequality is 5m – 40 ≥ –60.
To solve the inequality, we need to isolate the variable m.
Adding 40 to both sides of the inequality, we get:
5m ≥ –60 + 40
5m ≥ –20
Dividing both sides of the inequality by 5, we have:
m ≥ –20/5
m ≥ –4
Therefore, the solution to the inequality is m ≥ –4.
To graph the solution, we'll draw a ray (line) starting from -4 and going towards positive infinity (∞). Since the inequality is ≥ (greater than or equal to), the endpoint at -4 will be a closed dot. The ray will be drawn to the right.
The graph is depicted as follows:
```
-------------•---------------->
-4
```
Note: The arrow indicates that the ray extends indefinitely in the positive direction.