What is the greatest integer $n$ such that $n^2 - 11n +24 \leq 0$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the greatest integer $n$ such that $n^2 - 11n +24 \leq 0$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8
What is the greatest integer $n$ such that $n^2 - 11n +24 \leq 0$?
train