All the points (2,0) ,(3,0),(4,2) lie on the x axis

Answer

To determine whether the statement "All the points (2,0), (3,0), and (4,2) lie on the x-axis" is true or false, we can analyze the coordinates of each point.

### Step-by-Step Solution:

1. **Understanding the x-axis**:
- The x-axis is defined as the line where the y-coordinate is always 0. Therefore, any point that lies on the x-axis will have the form (x, 0), where x can be any real number.

2. **Analyzing the first point (2,0)**:
- The coordinates are (2, 0).
- Here, the y-coordinate is 0.
- Therefore, the point (2, 0) lies on the x-axis.

3. **Analyzing the second point (3,0)**:
- The coordinates are (3, 0).
- Again, the y-coordinate is 0.
- Thus, the point (3, 0) also lies on the x-axis.

4. **Analyzing the third point (4,2)**:
- The coordinates are (4, 2).
- In this case, the y-coordinate is 2, which is not equal to 0.
- Therefore, the point (4, 2) does not lie on the x-axis.

5. **Conclusion**:
- Since the first two points (2,0) and (3,0) lie on the x-axis, but the third point (4,2) does not, we can conclude that not all the given points lie on the x-axis.
- Therefore, the statement is **false**.