(1−k)x+k−2 |
x−2 |
(1)若1-k>0即k<1时,不等式等价于(x-
2−k |
1−k |
①若k<0,不等式的解集为{x|
2−k |
1−k |
②若k=0,不等式的解集为Ø
③若0<k<1,不等式的解集为{x|2<x<
2−k |
1−k |
(2)若1-k<0即k>1时,不等式等价于(x-
2−k |
1−k |
此时恒有2>
2−k |
1−k |
2−k |
1−k |
(3)若1-k=0即k=1时,不等式的解集为{x|x>2}.
综上可知当且仅当k=0时,不等式的解集为空集.
k(1−x) |
x−2 |
(1−k)x+k−2 |
x−2 |
2−k |
1−k |
2−k |
1−k |
2−k |
1−k |
2−k |
1−k |
2−k |
1−k |
2−k |
1−k |