SOLUTION: Hi May I have some help with the following problem? Solve the inequality. Express the solution using interval notation. abs((x-1)/9) < 2

Algebra ->  Equations -> SOLUTION: Hi May I have some help with the following problem? Solve the inequality. Express the solution using interval notation. abs((x-1)/9) < 2       Log On


   

Question 122381: Hi May I have some help with the following problem?
Solve the inequality. Express the solution using interval notation.

abs((x-1)/9) < 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
We can write it like this:
|%28x-1%29%2F9| < 2
:
Remove the abs and we have two equations to solve
:
%28x-1%29%2F9 < 2
Multiply equation by 9:
x - 1 < 18
x < 18 + 1
x < 19
:
and this one is neg 2, reverse the inequalitiy sign
%28x-1%29%2F9 > -2
Multiply equation by 9
x - 1 > -18
x > -18 + 1
x > -17
:
interval notation: (-17, +19)