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Let's analyze the problem shown in your image.

### Inequality:
You are asked to graph the solution set for the inequality:
\[
7 \geq x \geq -3
\]
This represents a double inequality, meaning that \( x \) must be between \(-3\) and \(7\), inclusive.

### Interval Notation:
In interval notation, this can be written as:
\[
[-3, 7]
\]
This indicates that the endpoints, \(-3\) and \(7\), are included (hence the square brackets).

### Graphing the solution:
You are asked to choose the correct graph. The solution should show a line segment from \(-3\) to \(7\) with closed circles on both \(-3\) and \(7\) because both values are included (due to the \(\geq\)).

### Correct Graph:
Looking at the options:
- **Option D** is the correct graph because it shows the interval from \(-3\) to \(7\) with closed circles at both endpoints.

Would you like a further breakdown of this problem or any related topics?

Here are 5 relative questions for expanding understanding:

1. What is the difference between interval notation and set notation?
2. How do you graph inequalities that use strict inequalities (\(<\) or \(>\))?
3. What happens if an inequality has more than two variables, and how does that affect the graph?
4. How would the graph change if one of the endpoints were not included (e.g., \(x > -3\))?
5. Can inequalities be solved similarly to equations? What are the main differences?

**Tip**: Always double-check whether the inequality includes or excludes the endpoints, as this will affect whether to use open or closed circles on the graph.

Graph the solution set of the inequality on a number line and then write it in interval notation: {x | 7 ≥ x ≥ -3}

Learn how to graph the inequality 7 ≥ x ≥ -3 on a number line and express the solution in interval notation. This problem explores key algebraic concepts, such as graphing on a number line and writing solutions in interval notation, suitable for students in Grades 6-8.

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