Question: Solve each system of inequalities.
{y < -1
y < -5
y < 4}
1. **State the problem:** We need to solve the system of inequalities:
$$y < -1$$
$$y < -5$$
$$y < 4$$
2. **Understand the system:** The solution to the system is the intersection of all inequalities, meaning the values of $y$ that satisfy all three conditions simultaneously.
3. **Analyze each inequality:**
- $y < -1$ means $y$ is less than $-1$.
- $y < -5$ means $y$ is less than $-5$.
- $y < 4$ means $y$ is less than $4$.
4. **Find the intersection:** The strictest condition is $y < -5$ because any number less than $-5$ is also less than $-1$ and less than $4$.
5. **Conclusion:** The solution to the system is:
$$y < -5$$
This is the region where all three inequalities overlap.