高中数学作业——不等式提问

3<=/X+1/<6
3<=X+1<6 或者-6<X+1<=-3
2<=X<5或 -7<X<=-4

3<=|x+1|<=6
则3<=x+1<=6或-6<=x+1<=-3
都减去1
3-1<=x+1-1<=6-1或-6-1<=x+1-1<=-3-1
所以2<=x<=5或-7<=x<=-4

3≤ |x+1|<6

|x+1|≥3
x+1≥4,或，x+1≤|-3
x≥3,或，x≤-4

|x+1|<6
-6<x+1<6
-7<x<5

所以，解集为：
-7<x≤-4,或，3≤x<5

3<x+1<6,或-6<x+1<-3
即2<x<5,或-5<x<-2

x大于-7小于等于-4，x大于等于2小于5

好简单的题，你只要分类讨论就很简单了，我没空帮你做了