State True or False :
The Graphical solution set of the inequation `0 le y, x ge 0` lies in second quadrant.

Answer

To determine whether the statement is true or false, we need to analyze the given inequations: \(0 \leq y\) and \(x \geq 0\).

### Step-by-Step Solution:

1. **Understanding the Inequations**:
- The inequation \(0 \leq y\) indicates that \(y\) must be greater than or equal to 0. This means that the values of \(y\) can be 0 or any positive number.
- The inequation \(x \geq 0\) indicates that \(x\) must be greater than or equal to 0. This means that the values of \(x\) can be 0 or any positive number.

2. **Identifying the Quadrants**:
- In the Cartesian coordinate system, the quadrants are defined as follows:
- **First Quadrant**: \(x > 0\) and \(y > 0\)
- **Second Quadrant**: \(x < 0\) and \(y > 0\)
- **Third Quadrant**: \(x < 0\) and \(y < 0\)
- **Fourth Quadrant**: \(x > 0\) and \(y < 0\)

3. **Finding the Graphical Solution Set**:
- Since both \(x\) and \(y\) are non-negative (i.e., \(x \geq 0\) and \(y \geq 0\)), the solution set will only include points in the first quadrant and along the axes where \(x\) and \(y\) are both non-negative.
- Specifically, this includes the points where \(x = 0\) (the y-axis) and \(y = 0\) (the x-axis), as well as all points in the first quadrant where both \(x\) and \(y\) are positive.

4. **Conclusion**:
- The graphical solution set of the inequations \(0 \leq y\) and \(x \geq 0\) does not lie in the second quadrant. Instead, it lies in the first quadrant and along the axes.
- Therefore, the statement "The Graphical solution set of the inequation \(0 \leq y, x \geq 0\) lies in the second quadrant" is **False**.

### Final Answer:
**False**