Помогите! Под корнем модуль

[latex] \frac{1}{\sqrt{|x-1|}} \ \textgreater \ \frac{1}{2} \\\\ODZ: \left \{ {{\sqrt{|x-1|}}\ne 0 \atop {|x-1| \geq 0}} \right. \; \left \{ {{|x-1|\ne 0} \atop {x\in (-\infty ,+\infty )}} \right. \; \to \; \; x\ne 1\\\\\frac{1}{\sqrt{|x-1|}}\ \textgreater \ \frac{1}{2}\; \; |\cdot 2\sqrt{|x-1|}\ \textgreater \ 0\\\\2\ \textgreater \ \sqrt{|x-1|}\\\\\sqrt{|x-1|}\ \textless \ 2\; \; \; \Rightarrow \; \; \; |x-1|\ \textless \ 4\; \; \; \Rightarrow \; \; \; \\\\-4\ \textless \ x-1\ \textless \ 4\\\\-3\ \textless \ x\ \textless \ 5\\\\ \left \{ {{-3\ \textless \ x\ \textless \ 5} \atop {x\ne 1}} \right. \; \; \Rightarrow \; \; \; \underline {x\in (-3,1)\cup (1,5)}[/latex]