3+6n<-5n-8<=8-3n
We have these two inequalities
3 + 6n < -5n - 8 and -5n - 8 ≤ 8 - 3n
add 5n to both sides
3 + 11n < -8 -8 ≤ 8 + 2n
subtract 3 from both sides subtract 8 from both sides
11n < -11 -16 ≤ 2n
divide both sides by 11 divide both sides by 2
n < -1 -8 ≤ n
So....The interval that solves this is [ -8 , -1 )