The system of inequalities you're working with can be written as:

\[
7 \leq y \leq 12
\]

This means that \( y \) is between 7 and 12, inclusive of both endpoints. In other words, \( y \) can take any value from 7 to 12, including 7 and 12 themselves.

If you'd like more details or have questions, feel free to ask!

Here are 5 related questions to expand on this concept:

1. What is the difference between strict and non-strict inequalities?
2. How would you graph the solution set for this inequality on a number line?
3. Can you write an inequality for \( y \) that excludes the values 7 and 12?
4. What happens if you reverse the inequalities, such as \( y \geq 12 \) and \( y \leq 7 \)?
5. How can you apply this inequality in real-world scenarios, like setting temperature limits?

**Tip**: When graphing inequalities like this, closed circles are used on a number line to represent inclusive values (like 7 and 12 in this case).

Understand how to solve and graph the inequality y ≥ 7 and y ≤ 12. This problem demonstrates key algebraic concepts, including inequalities and their properties. Learn how to represent this on a number line. Suitable for students in Grades 6-8.

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