Find all solutions to the inequality \[\frac{(2x-7)(x-3)}{x} \ge 0.\](Give your answer in interval notation.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all solutions to the inequality \[\frac{(2x-7)(x-3)}{x} \ge 0.\](Give your answer in interval notation.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(0, 3] \cup [\tfrac72, \infty)
Find all solutions to the inequality \[\frac{(2x-7)(x-3)}{x} \ge 0.\](Give your answer in interval notation.)
train