SOLUTION: what is the solution set of the inequality 5-|x+4|<-3?

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Question 13758: what is the solution set of the inequality
5-|x+4|<-3?
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
|x+4|= x + 4 ; where x%3E=-4
|x+4|= -(x + 4); where x%3C-4
5-|x+4|<-3
case (i):
5-(x+4)<-3; where x%3E=-4
5-(x+4)<-3
5-x-4<-3
-x-4+5<-3
-x+1<-3
-x<-3-1
-x<-4
x>4
Solution for this case is x>4
case (ii):
5-(-(x+4))<-3; where x%3E=-4
5+(x+4)<-3
5+x+4<-3
x+9<-3
x<-3-9
x<-12
There is no solution for this case.
So, solution for this inequality is x>4.
OK