SOLUTION: 4|3-2x|<20 solve for x can someone explain how I do this?

Algebra ->  Functions -> SOLUTION: 4|3-2x|<20 solve for x can someone explain how I do this?      Log On


   

Question 53383: 4|3-2x|<20
solve for x
can someone explain how I do this?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
|3 - 2x| < 5
sqrt((3 - 2x)^2) < 5
(3 - 2x)^2 < 25
4x^2 - 12x + 9 < 25
4x^2 - 12x - 16 < 0
x^2 - 3x - 4 < 0
(x - 4)(x + 1) < 0
-1+%3C+x+%3C+4