[tex] G = \Big\{x\in \mathbb_{R}$ $ \Big| $ $|x-5| \ \textgreater \ 2\Big\}; \\ \\ |x-5|\ \textgreater \ 2 \\ \\ \Rightattow \Big\{x-5 \ \textless \ -2 \quad sau \quad x-5\ \textgreater \ 2\Big\} \Rightarrow \\ \Rightarrow \Big\{x\ \textless \ -2+5 \quad sau \quad x\ \textgreater \ 2+5\Big\}\Rightarrow \\ \Rightarrow \Big\{x \ \textless \ 3 \quad sau \quad x \ \textgreater \ 7 \Big\} \\ \\ $("sau" reprezinta reunit) $ \rightarrow x\in (-\infty, 3)\cup (7,\infty)[/tex]
[tex] \\ \\ \Rightarrow \boxed{G = (-\infty, 3)\cup (7,\infty)}[/tex]
