Решите неравенство _(x^2-1)(x-1)_(x^2-1)sqrt((x^2)/(2)+1).
_(x^2-1)(x-1)_(x^2-1)sqrt((x^2)/(2)+1)[arraylcasesx^2-1>1 x-1((x^2)/(2)+1)cases cases0<x^2-1<1 0<x-1((x^2)/(2)+1)casesarray. [arraylcasesx>sqrt(2) x^2-4x 0cases cases1<x<sqrt(2) x^2-4x 0casesarray.[arraylx 4 1<x<sqrt(2)array..
\(x\in(1,\sqrt{2})\cup[4,+\infty)\)