Question

|x|>2 Напишите решение пожалуйста

Answer 1

$|x|\ \textgreater \ 2\; \; \Rightarrow \; \; x\in (-\infty ,-2)\cup (2,+\infty ) \\\\\\a)\; \; x\ \textless \ 0\; \; \to \; \; |x|=-x\; \; \to \; \; -x\ \textgreater \ 2\; ,\; \; x\ \textless \ -2\\\\b)\; \; x=0\; \; \to |x|=|0|=0\; ,\; \; 0\ \textgreater \ 2\; \; neverno\\\\c)\; \; x\ \textgreater \ 0\; \; \to \; \; |x|=x\; \; \to \; \; x\ \textgreater \ 2\\\\Vuvod:\; \; |x|\ \textgreater \ 2\; \; \Rightarrow \; \; \left [ {{x\ \textless \ -2} \atop {x\ \textgreater \ 2}} \right. \; \; \Rightarrow \; \; x\in (-\infty ,-2)\cup (2,+\infty )$

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