Решите систему неравенств б) помогите решить пожалуйста

Question 1

Question 2

$\left \{ {{ x^{2} -x\ \textgreater \ 0} \atop {x^2-x\ \textless \ 2}} \right. \\ \\ \left \{ {{ x^{2} -x\ \textgreater \ 0} \atop {x^2-x-2\ \textless \ 0}} \right. \\ \\ \left \{ {{ x\cdot(x -1)\ \textgreater \ 0} \atop {(x+1)(x-2)\ \textless \ 0}} \right.$

Первое неравенство верно при х ∈(-∞;0)U(1;+∞)
\\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\
----------------(0)-------(1)---------------
Второе неравенство верно при х ∈(-1;2)
//////////////////////////////
---------(-1)------------------------(2)-----------------

Пересечение этих множеств и будет ответом:
\\\\\\\\ \\\\\\\\
---------(-1)----(0)--------(1)-----(2)
Ответ. (-1;0)U(1;2)

nafanya2014_zn · Answer 1 · 2018-04-06T13:44:03+0000

$\left \{ {{ x^{2} -x\ \textgreater \ 0} \atop {x^2-x\ \textless \ 2}} \right. \\ \\ \left \{ {{ x^{2} -x\ \textgreater \ 0} \atop {x^2-x-2\ \textless \ 0}} \right. \\ \\ \left \{ {{ x\cdot(x -1)\ \textgreater \ 0} \atop {(x+1)(x-2)\ \textless \ 0}} \right.$

Первое неравенство верно при х ∈(-∞;0)U(1;+∞)
\\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\
----------------(0)-------(1)---------------
Второе неравенство верно при х ∈(-1;2)
//////////////////////////////
---------(-1)------------------------(2)-----------------

Пересечение этих множеств и будет ответом:
\\\\\\\\ \\\\\\\\
---------(-1)----(0)--------(1)-----(2)
Ответ. (-1;0)U(1;2)