Solve, express your answer in interval notation absolute value of 3x-10 is > 2

Answer 1

|3x-10) > 2
either
3x-10 > 2
3x > 12
x > 4

or

-(3x-10) > 2
3x-10 < -2
3x < 8
x < 8/3

If you look at the graph you can see why an abs val > n problem usually has two solutions.

http://www.wolframalpha.com/input/?i=+|3x-10|+%3E+2