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```
Solve the inequality |x + 1| - |x + 3|≤ 6
```
7 years ago

Askiitians Expert Sahil Arora - IITD
19 Points
```										Dear Cathy
Case 1:
x+1>0 and x+3>0
==>x>-1
|x +  1| - |x + 3|=-2≤ 6
so for all valueof x greater than -1 will be the solution
Case 2:
x+1>0 and x+3<0
No common solution
case 3:
x+1<0 and x+3<0
==>x<-3
|x +   1| - |x + 3|=-(x +   1) - (-)(x + 3)=2<6
hence for x<-3 inequation holds
hence sol..
x<-3 or x>-1
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best Cathy !!!Regards,Askiitians ExpertsSahil Arora IIT Delhi

```
7 years ago
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