https://file.aiquickdraw.com/mathbot/file/1728415508777q0usge9b.jpg

Let's analyze the graph and the system of inequalities based on the image.

### Graph Interpretation:
1. **Red dashed line:** This represents the boundary for \( y = x \). Since the shading is above this line, the inequality for this line is \( y > x \).
   
2. **Solid horizontal line:** This represents the boundary for \( y = 2 \). Since the shading is above this line, the inequality for this line is \( y > 2 \).

### System of inequalities:
From the graph, the shaded region is where both inequalities are true. Therefore, the system of inequalities shown is:
\[
y > x \quad \text{and} \quad y > 2
\]

Thus, the correct answer is:
- **Option A: \( y > x \) and \( y > 2 \)**

Would you like a more detailed breakdown or further explanation?

Here are five related questions to consider:
1. How do you graph linear inequalities on the coordinate plane?
2. What is the difference between dashed and solid lines in inequalities?
3. How do you determine the solution region for a system of inequalities?
4. How would the graph change if the inequalities were \( y \leq x \) and \( y \leq 2 \)?
5. Can systems of inequalities have no solution?

**Tip:** Always check the shading in graphs of inequalities—above the line means greater than, and below means less than.

Learn how to determine the system of inequalities from a graph. This example explores the system of y > x and y > 2, with detailed explanation of the solution and graphing steps. Suitable for students in Grades 7-9.

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