Помогите с 5-6 уравнением!во вложениях!

Ответ

Проверено экспертом

Автор - NNNLLL54

$|2x^2-x| textgreater 3\\ left { {{2x^2-x textgreater 3} atop {2x^2-x textless -3}} right. ; left { {{2x^2-x-3 textgreater 0} atop {2x^2-x+3 textless 0}} right. ; left { {{2(x+1)(x-frac{3}{2}) textgreater 0} atop {D=-23 textless 0,to xin (-infty ,+infty )}} right. ; left { {{xin (-infty ,-1)cup (frac{3}{2},+infty )} atop {xin (-infty ,+infty )}} right. \\xin (-infty ,-1)cup (frac{3}{2},+infty )$

$|x^2-x| leq 3x+5\\ left { {{x^2-x leq 3x+5} atop {x^2-x geq -3x-5}} right. ; left { {{x^2-4x-5 leq 0} atop {x^2+2x+5 geq 0}} right. ; left { {{(x+1)(x-5) leq 0} atop {D=-16 textless 0to xin (-infty ,+infty )}} right. \\ left { {{xin [,-1,5, ]} atop {xin (-infty ,+infty )}} right. ; to ; ; xin [, -1,5, ]$