2. The solution set of the inequality $(x-2) \sqrt{x^{2}-2 x-3} \geqslant 0$ is
$$
\left\{\begin{array}{l}
x-2 \geqslant 0, \\
(x+1)(x-3) \geqslant 0
\end{array} \text { or }(x+1)(x-3)=0 \Rightarrow x \in\{-1\} \bigcup[3,+\infty)\right. \text {. }
$$