Question

Помогите! Под корнем модуль

Answer 1

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