Final answer:
To solve the system of inequalities, first solve each inequality separately, and then combine the solutions.
Step-by-step explanation:
To solve the system of inequalities,
- Solve the first inequality:
6b - 7 < -13
Add 7 to both sides:
6b < -6
Divide both sides by 6:
b < -1 - Solve the second inequality:
2b - 4 < 14
Add 4 to both sides:
2b < 18
Divide both sides by 2:
b < 9
The solution to the system of inequalities is:
-1 < b < 9