Final answer:
The value of x for a point on the boundary line and the axes of the given inequality x - 2y > 4 is greater than 4.
Step-by-step explanation:
The given inequality is x - 2y > 4. To find a value of x for a point on the boundary line and the axes, we need to consider the cases where x = 0 and y = 0.
Case 1: x = 0
Substituting x = 0 into the inequality, we get -2y > 4, which simplifies to y < -2. So, the point (0, -2) lies on the boundary line.
Case 2: y = 0
Substituting y = 0 into the inequality, we get x > 4. So, any value of x greater than 4 lies on the boundary line.
Therefore, the value of x for a point on the boundary line and the axes is greater than 4.