Final answer:
To solve the compound inequality 4y - 2 < -14 and 3y - 6 < 6, solve each inequality separately and find the intersection of the solutions. The solution in interval notation is (-∞, -3).
Step-by-step explanation:
To solve the compound inequality 4y - 2 < -14 and 3y - 6 < 6, we need to solve each inequality separately and then find the intersection of the solutions.
- Solving 4y - 2 < -14:
Add 2 to both sides: 4y < -12
Divide by 4: y < -3 - Solving 3y - 6 < 6:
Add 6 to both sides: 3y < 12
Divide by 3: y < 4
The intersection of the solutions is y < -3 AND y < 4. When we combine these two inequalities, we get y < -3.
Therefore, the solution in interval notation is (-∞, -3).