解不等式 1/(1-x)>-2,

问题描述:

解不等式 1/(1-x)>-2,


1/(1-x)>-2
1/(1-x)+2>0
1/(1-x)+2(1-x)/(1-x)>0
(3-2x)/(1-x)>0
(3-2x)(1-x)>0
(2x-3)(x-1)>0
x3/2

1/(1-x)>-2
1-x>-2(1-x)
1-x>-2+x
2xx

1/(1-x)+2(1-x)/(1-x)>0
(3-2x)/(1-x)>0
(3-2x)(1-x)>0
(2x-3)(x-1)>0
1