Solve the inequality
\[\sqrt{x^2 - x - 6} < 2x - 3.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the inequality
\[\sqrt{x^2 - x - 6} < 2x - 3.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[3,\infty)
Solve the inequality
\[\sqrt{x^2 - x - 6} < 2x - 3.\]
train