algebra

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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 -

    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 -

    thank you very much for your help, anonymous. thanks ann

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