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

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


   

Question 122503: Hi May I have some help with this inequality?
Solve the inequality. Express the solution using interval notation.

abs((x-1)/9) < 2
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
In gral abs(f(x)) < k with k > 0 if only if -k < f(x) < k so
abs((x-1)/9) < 2 if only if -2<(x-1)/9<2 if only if -18 < x-1 < 18
if only if -17 < x < 19 so the solution is the interval (-17,19)