Question

What is the solution set of the absolute value sentence
|5x - 8| > 12?
A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x|-11 < x < -7}
E. All Real Numbers

Answer 1

5x-8\[>\]12
5x-8\[>\]-12
so x can't be 4 or -4/5 because if you put this values the inequality will be 0
from first equation x must be bigger than 4
from second equation x must be bigger than -4/5