Объяснение:
(х/(х+1) +1)•(1+х)/(2х-1)=(х+х+1)/(х+1) •(1+х)/(2х-1)=(2х+1)/(2х-1)
(4х^2 -4х)/(х+3) ÷(2х-2)=4х(х-1)/(х+3) •1/(2•(х-1))=2х/(х+3)=2•(-1)/(-1+3)=-2/2=-1
Метод интервалов:
x=0 x= -2 x=5
- + - +
-------- -2 ----------- 0 ------------- 5 -------------
\\\\\\\\\\ \\\\\\\\\\\\\\\\
x< -2 - - - | -
-2<x<0 x=-1 - + - | +
0<x<5 x=1 + + - | -
x>5 x=6 + + + | +
x∈(-∞; -2]U[0; 5]
Ответ: (-∞; -2]U[0; 5].