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Certainly! The image contains a table that needs to be completed with interval notations and their corresponding graphical representations. Here’s a step-by-step breakdown:

### Table Completion:
1. **First Row (already completed):**
   - **Interval Notation:** \([-3, 3]\)
   - **Graph:** The graph would show a line segment from \(-3\) to \(3\) with filled circles at both endpoints.

2. **Second Row:**
   - **Set:** \(-8 \leq x \leq 3\)
   - **Interval Notation:** \([-8, 3]\)
   - **Graph:** The graph would show a line segment from \(-8\) to \(3\) with filled circles at both endpoints.

3. **Third Row:**
   - **Set:** \(-4 < x \leq 0\)
   - **Interval Notation:** \((-4, 0]\)
   - **Graph:** The graph would show a line segment from \(-4\) to \(0\), with an open circle at \(-4\) and a filled circle at \(0\).

4. **Fourth Row:**
   - **Set:** \(1 < x \leq 9\)
   - **Interval Notation:** \((1, 9]\)
   - **Graph:** The graph would show a line segment from \(1\) to \(9\), with an open circle at \(1\) and a filled circle at \(9\).

5. **Fifth Row:**
   - **Set:** \(3x < 6\)
   - **Interval Notation:** \(x < 2\), which in interval notation is \((-\infty, 2)\)
   - **Graph:** The graph would show a ray starting from \(-\infty\) and stopping at \(2\) with an open circle at \(2\).

### Summary Table:
| CONJUNTO             | INTERVALO     | GRAFICO          |
|----------------------|---------------|------------------|
| \([-3, 3]\)          | \([-3, 3]\)   | Line segment between -3 and 3 with closed circles |
| \(-8 \leq x \leq 3\) | \([-8, 3]\)   | Line segment between -8 and 3 with closed circles |
| \(-4 < x \leq 0\)    | \((-4, 0]\)   | Line segment between -4 and 0, open at -4, closed at 0 |
| \(1 < x \leq 9\)     | \((1, 9]\)    | Line segment between 1 and 9, open at 1, closed at 9 |
| \(3x < 6\)           | \((-\infty, 2)\) | Ray starting from -∞ to 2, open at 2 |

Would you like more details on how to graph these intervals, or have any questions? 

Here are some related questions to consider:

1. How do you determine whether to use an open or closed circle in interval graphs?
2. What is the difference between union and intersection of intervals?
3. How can intervals be expressed in set notation?
4. How does one graph a compound inequality like \(1 < x \leq 9\)?
5. What are the common mistakes when interpreting inequality symbols in interval notation?
6. How do you convert between interval notation and set-builder notation?
7. What would change in the graph if the inequality were strict (e.g., \(x < 2\)) versus non-strict (e.g., \(x \leq 2\))?
8. How can interval notation be applied in solving real-life problems?

**Tip:** Always double-check if the endpoints should be included (closed circle) or excluded (open circle) based on the inequality symbols!

Learn how to complete a table with interval notations and graphical representations of inequalities. This detailed guide covers interval notation, graphing techniques for inequalities, and examples of open and closed circles in graphs. Suitable for high school students.

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