Find all real values of $r$ that satisfy $\frac1r > \frac1{r-1} + \frac1{r-4}.$ (Give your answer in interval notation.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all real values of $r$ that satisfy $\frac1r > \frac1{r-1} + \frac1{r-4}.$ (Give your answer in interval notation.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(-\infty, -2) \cup (0, 1) \cup (2, 4)
Find all real values of $r$ that satisfy $\frac1r > \frac1{r-1} + \frac1{r-4}.$ (Give your answer in interval notation.)
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