解不等式 1<|1-3x|<=4

来源:百度知道 编辑:UC知道 时间:2024/06/06 01:53:03
过程

1<|1-3x|<=4
当1-3x>=0,即:x<=1/3
1<1-3x<=4
0<-3x<=3
-1<=x<0

当1-3x<0,即:x>1/3
1<3x-1<=4
2<3x<=5
2/3<x<=5/3

综合以上:
-1<=x<0,及2/3<x<=5/3

1.X<=1/3
1<1-3x<=4
-1<=x<0
2.x>=1/3
1<3x-1<=4
2/3<x<=3/5
综上,
-1<=x<0或2/3<x<=3/5

1<1-3x<=4 或 -4<=1-3x<-1
0<-3x<=3 或 -5<=-3x<-2
-1<=x<0 或 2/3<x<=5/3