若a同时满足不等式2a-42,化简|1-a|-|a-2|

题目

若a同时满足不等式2a-42,化简|1-a|-|a-2|

答案

2a - 4 < 0
a - 2 < 0
3a - 1 > 2
3a - 3 > 0
a - 1 > 0
1 - a < 0
|1 - a | - | a - 2 |
= (a - 1) - (2 - a)
= a - 1 - 2 + a
= 2a - 3