algebra
posted by ann .
please check answers and change if wrong thank you.
The absolute value of 3 times a number x is greater than 33.
3x > 33
3x > 33
x > 11
what about 11

good question.
x = x if x>=0
So, your answer of 11 correctly solves
3x > 33
But, x = x if x < 0
so, the other condition is
3x > 33
x < 11
So, if x is farther than 11 units from 0, in either direction, 3x is farther than 33 units away from 0. 
thank you very much for your help, anonymous. thanks ann