Homework Help: algebra

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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