1. The problem asks us to determine if the point $(4, 11)$ is a solution to the system of inequalities: $$\begin{cases} y \leq 2x \\ y > x + 3 \end{cases}$$ 2. To check if a point is a solution, substitute $x=4$ and $y=11$ into each inequality. 3. Substitute into the first inequality: $$11 \leq 2(4)$$ $$11 \leq 8$$ This is false because $11$ is not less than or equal to $8$. 4. Since the first inequality is not satisfied, the point $(4, 11)$ cannot be a solution to the system. 5. For completeness, check the second inequality: $$11 > 4 + 3$$ $$11 > 7$$ This is true. 6. However, both inequalities must be true for the point to be a solution to the system. 7. Conclusion: $(4, 11)$ is not a solution to the system because it does not satisfy the first inequality. **Final answer:** No, $(4, 11)$ is not a solution of the system.