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The image shows a problem related to graphing the solution set of a system of linear inequalities. The inequalities provided in the screenshot are:

\[
2y - 2x > 8 \quad \text{or} \quad y > 2
\]

### Step-by-step breakdown:

1. **Inequality 1: \(2y - 2x > 8\)**:
   - First, solve for \(y\) in terms of \(x\):
     \[
     2y > 2x + 8
     \]
     \[
     y > x + 4
     \]
   - This is the equation of a line: \(y = x + 4\), but since the inequality is \(y > x + 4\), you will graph the line \(y = x + 4\) and shade above it.
   - The boundary line should be **dashed** because it is a strict inequality (no equal sign, meaning the line itself is not part of the solution).

2. **Inequality 2: \(y > 2\)**:
   - This is a horizontal line at \(y = 2\), and since the inequality is \(y > 2\), you will shade the region above this line.
   - The boundary line for this inequality is also **dashed** because it is a strict inequality.

### Graphing Instructions:
- For the first inequality \(y = x + 4\), you can find two points on the line by substituting values for \(x\) to solve for \(y\).
  - For \(x = 0\), \(y = 4\) (point: \((0, 4)\)).
  - For \(x = -4\), \(y = 0\) (point: \((-4, 0)\)).
- For the second inequality \(y = 2\), the points on the line are easy to determine as they are horizontal at \(y = 2\) (e.g., \((-10, 2)\), \((10, 2)\)).

In summary:
- For the boundary line \(y = x + 4\), enter the points \((0, 4)\) and \((-4, 0)\).
- Choose a dashed boundary for both inequalities since they are strict inequalities.

Would you like me to explain anything further or assist with entering the points? 

### Follow-up questions:
1. Why is the boundary line dashed for a strict inequality?
2. How would the solution change if the inequality was \(y \geq x + 4\)?
3. How do we determine which region to shade in a graph of inequalities?
4. Can you graph systems with more than two inequalities in this manner?
5. What role does the slope of the line play in understanding the graph?

### Tip:
Always test a point (like \((0, 0)\)) to check whether it belongs to the solution set when graphing inequalities.

Graph the solution set of the first linear inequality: 2y - 2x > 8 or y > 2. Choose the type of boundary line and enter two points on the boundary line.

Learn how to graph the solution set for linear inequalities such as 2y - 2x > 8 or y > 2. This problem includes concepts from algebra, graphing, and solving inequalities, suitable for students in Grades 8-10.

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