Posted by **ann** on Tuesday, February 7, 2012 at 2:33am.

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

- algebra -
**Anonymous**, Tuesday, February 7, 2012 at 5:40am
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.

- algebra -
**ann**, Tuesday, February 7, 2012 at 4:30pm
thank you very much for your help, anonymous. thanks ann

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