Subjects algebra

Inequality System Bc9E83

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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.