Determine whether x5 is a solution to the given inequality 3

Determine whether x=-5 is a solution to the given inequality.

3x+7<-4 or 3x+74

yes or no

Solution

given 3x+7<-4 or 3x+74

3x<-4-7 or 3x4-7

3x<-11 or 3x-3

x<-11/3 or x>=-1

-1<= x < -11/3

- 1<= x < - 3.666

hence x = -5 is not a solution to given inequality

ans: no