Given: An inequality-
![11x<10x+6](https://img.qammunity.org/2023/formulas/mathematics/college/w6onwomhh0zciwu7dd4sg38cdsjon43rhw.png)
Required: To solve the inequality, graph the solution set and write it in interval notation.
Explanation: The given inequality is-
![11x<10x+6](https://img.qammunity.org/2023/formulas/mathematics/college/w6onwomhh0zciwu7dd4sg38cdsjon43rhw.png)
Subtracting 10 x from both sides,
![\begin{gathered} 11x-10x<10x+6-10x \\ x<6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3c3cb3nvprb5yhin93ax9364fnhldveptq.png)
The interval notation is-
![(-\infty,6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/l61198g5zgrqy1yhlbv58725xejhbj4z9c.png)
The graph of the solution set is-
Final Answer: The correct answer is Option D.