To graph the inequality involving the expression \(-\frac{1}{2}\), it's important to know the full context of the inequality. Since the inequality seems incomplete, I assume you want to graph something like \(x > -\frac{1}{2}\), \(x < -\frac{1}{2}\), or any similar inequality involving \(-\frac{1}{2}\). Below are examples of common inequalities and their corresponding graphs:

1. **\(x > -\frac{1}{2}\):**
   - This inequality represents all values of \(x\) greater than \(-\frac{1}{2}\).
   - The graph is a number line with an open circle at \(-\frac{1}{2}\) and a line extending to the right.

2. **\(x < -\frac{1}{2}\):**
   - This represents all values of \(x\) less than \(-\frac{1}{2}\).
   - The graph would show a number line with an open circle at \(-\frac{1}{2}\) and a line extending to the left.

3. **\(x \geq -\frac{1}{2}\):**
   - This inequality includes all values of \(x\) greater than or equal to \(-\frac{1}{2}\).
   - The graph would show a number line with a closed circle at \(-\frac{1}{2}\) and a line extending to the right.

4. **\(x \leq -\frac{1}{2}\):**
   - This includes all values of \(x\) less than or equal to \(-\frac{1}{2}\).
   - The graph would have a closed circle at \(-\frac{1}{2}\) with a line extending to the left.

Please let me know which specific inequality you are working with, and I can provide the corresponding graph. 

### Relative Questions:
1. How do you determine whether to use an open or closed circle in a graph of an inequality?
2. What is the effect of flipping the inequality sign (e.g., from \(>\) to \(<\)) on the graph?
3. How can you graph a compound inequality like \(-2 < x \leq 3\)?
4. What are the steps to graph a linear inequality involving two variables, such as \(y > 2x - 3\)?
5. How does the inequality symbol affect the solution set on a number line?

### Tip:
Always pay attention to whether the inequality is strict (\(<\) or \(>\)) or inclusive (\(\leq\) or \(\geq\)), as this will affect how you represent the boundary points on the graph.

Understand how to graph inequalities involving the value -1/2 on a number line. This guide explains different types of inequalities such as x > -1/2 or x ≤ -1/2, and includes tips on using open or closed circles to represent boundary points. Suitable for Grades 6-8.

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