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The system you've provided involves solving two linear inequalities graphically:

1. \( x > 4 \)
2. \( y \geq 2 \)

### Steps for Solving Graphically:

- **Inequality 1: \( x > 4 \)** 
  This represents a vertical line at \( x = 4 \). The region where \( x > 4 \) is to the right of this line.
  
- **Inequality 2: \( y \geq 2 \)**
  This represents a horizontal line at \( y = 2 \). The region where \( y \geq 2 \) is above this line.

### The Overall Solution Set:
- The solution to this system is the **intersection** of these two regions: the area to the right of \( x = 4 \) and above \( y = 2 \). The intersection is the region where both conditions are satisfied simultaneously, meaning the area in the upper-right section of the graph (above the line \( y = 2 \) and to the right of \( x = 4 \)).

### Correct Answer:
You should select **"the intersection of the individual solution sets"** for shading.

Would you like further details or help with another part of this problem? 

Here are 5 related questions you might find interesting:

1. How can we solve a system of linear inequalities involving different types of lines, such as vertical and horizontal?
2. How do you graph an inequality like \( y < 3x + 1 \) on a coordinate plane?
3. What is the difference between a system of equations and a system of inequalities graphically?
4. How do you shade regions for inequalities in a multi-variable system?
5. Can you explain how to solve inequalities involving quadratic functions graphically?

**Tip**: When graphing inequalities, always first plot the boundary line (or curve), then determine which side of the boundary should be shaded based on the inequality sign.

Solve the system of two linear inequalities graphically. x > 4 or y ≥ 2. Select and graph the option that describes the overall solution set.

Learn how to solve the system of linear inequalities x > 4 and y ≥ 2 graphically. This problem involves understanding the properties of inequalities and determining the intersection of the solution sets. Ideal for students in Grades 9-12.

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