SOLUTION: I don't understand the absolute value inequality |x-10|-9<-1

Algebra ->  Equations -> SOLUTION: I don't understand the absolute value inequality |x-10|-9<-1      Log On


   

Question 1021791: I don't understand the absolute value inequality |x-10|-9<-1
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
|x-10| -9 < -1
:
add 9 to both sides of <
:
|x-10| < 8
:
rewrite eliminating the absolute value
:
-8 < x-10 < 8
:
add 10 to all three expressions
:
2 < x < 18
: