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The graph represents a number line with two red dots located at \( x = -6 \) and \( x = -2 \), and the region between these points is shaded. The shading between the points suggests a continuous range of values for \( x \). The solid red dots on both ends of the interval indicate that the values at \( x = -6 \) and \( x = -2 \) are included in the solution.

Thus, the correct inequality should be:
\[ -6 \leq x \leq -2 \]
This inequality includes all values of \( x \) between \(-6\) and \(-2\), inclusive of the endpoints.

The answer choice that matches this inequality is **Option A: \( -6 \leq x \leq -2 \)**.

Would you like further clarification or have any questions?

Here are 5 related questions you might want to consider:
1. How can you tell when an inequality includes its endpoints?
2. What is the difference between strict inequalities (like \( < \) or \( > \)) and non-strict inequalities (like \( \leq \) or \( \geq \))?
3. How do you graph inequalities on a number line?
4. What does an "or" statement in an inequality represent?
5. How would the graph change if the inequality were \( -6 < x < -2 \)?

**Tip:** Always pay attention to whether the endpoints are included (solid dots) or excluded (open dots) when interpreting inequalities from graphs.

Choose the inequality that matches the graph: -6 ≤ x ≤ -2

Learn how to identify the correct inequality that matches a number line graph. This problem involves understanding continuous ranges, endpoints, and inequalities with inclusive values. Suitable for students in Grades 6-8.

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