Question

resolva sistema x-5>-10 2x-2<10 x-2>0

Answer 1

$\mathrm{x-5\ \textgreater \ -10\ \to\ x\ \textgreater \ -10+5\ \to\ x\ \textgreater \ -5}\\ \mathrm{2x-2\ \textless \ 10\ \to\ 2x\ \textless \ 12\ \to\ x\ \textless \ 6}\\ \mathrm{x-2\ \textgreater \ 0\ \to\ x\ \textgreater \ 2}\\\\ \mathrm{\{x\ \textgreater \ -5\}\cap\{x\ \textless \ 6\}\cap\{x\ \textgreater \ 2\}=2\ \textless \ x\ \textless \ 6}\\\\ \boxed{\mathbf{S=\{x\in\mathbb{R}\ |\ 2\ \textless \ x\ \textless \ 6\}}}$