(x-1)(5-x)大于等于0和|1-2x|

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(x-1)(5-x)大于等于0和|1-2x|(x-1)(5-x)大于等于0和|1-2x|(x-1)(5-x)大于等于0和|1-2x|1.(x-1)(5-x)≥01)x-1≥05-x≥01≤x≤52)x

(x-1)(5-x)大于等于0和|1-2x|
(x-1)(5-x)大于等于0和|1-2x|

(x-1)(5-x)大于等于0和|1-2x|
1.
(x-1)(5-x)≥0
1)
x-1≥0
5-x≥0
1≤x≤5
2)
x-1≤0
5-x≤0
无解
综上,原不等式的解集为1≤x≤5
2.
|1-2x|<3
-3<1-2x<3
-4<-2x<2
-1<x<2

(x-1)(5-x)>=0 即(x-1)(x-5)<=0 1<=x<=5
|1-2x|<3 -3<2x-1<3 -1