Find all $x$ such that $\frac{1}{x-1}-\frac{1}{x-7}>1$. Express your answer in interval notation.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all $x$ such that $\frac{1}{x-1}-\frac{1}{x-7}>1$. Express your answer in interval notation.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(1,4-\sqrt{3})\cup(4+\sqrt{3},7)
Find all $x$ such that $\frac{1}{x-1}-\frac{1}{x-7}>1$. Express your answer in interval notation.
train