To solve the inequality -4h > 48, we need to divide both sides by -4. However, since we are dividing by a negative number, the inequality sign will flip.
Dividing by -4, we get:
h < -48/4
h < -12
To graph this solution, we will draw an open circle at -12 on the number line and shade the region to the left of it. This represents all values of h that are less than -12.
Checking our solution, we can choose a value to the left of -12, such as -13, and substitute it into the original inequality:
-4(-13) > 48
52 > 48
This is true, so the solution h < -12 is valid.
Graph:
```
--------------------------O---->
-12
```
Solve the inequality. Graph and check your solution.
-4h>48
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