Final answer:
The statement provided is false; after checking the point (4,1) against the equation y = 3x - 11, it is confirmed that the point is a solution to the equation.
Step-by-step explanation:
The statement is false. To determine if the point (4,1) is a solution to the equation y = 3x - 11, we must substitute the x-value from the point into the equation and check whether the resulting y-value is equal to that of the point.
For the point (4,1), substituting x = 4 yields y = 3(4) - 11, which simplifies to y = 12 - 11, or y = 1.
This is indeed equal to the y-value of the point, which means that the correct statement should be that the point (4,1) is a solution to the equation y = 3x - 11.