Find the smallest integer $x$ where the expression $\frac{\sqrt{x-2}}{x^2+x-6}$ is defined.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the smallest integer $x$ where the expression $\frac{\sqrt{x-2}}{x^2+x-6}$ is defined.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Find the smallest integer $x$ where the expression $\frac{\sqrt{x-2}}{x^2+x-6}$ is defined.
train