|x-6|<5 divide both sides by negative 9 and you have to flip the sign since you are dividing both sides by a negative

Remember if |x+a|<c then x+a<c and x+a>-c then c-a< x<-c-a

x-6<5

x-6>-5

solve for x in both equations

x<11

x>-1

-1<x<11 <----- answer

Hope this helps!