不等式3小于等于绝对值X+1小于6

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不等式3小于等于绝对值X+1小于6

不等式3小于等于绝对值X+1小于6
不等式3小于等于绝对值X+1小于6

不等式3小于等于绝对值X+1小于6
3

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
-6-7所以,解集为:
-7

3即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