SOLUTION: |3x-1|-3>-3

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Question 903824: |3x-1|-3>-3
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a method:
Let v=3x-1

Substitute:
abs%28v%29-3%3E-3
abs%28v%29%3E-3%2B3
abs%28v%29%3E0

Use what you understand about absolute value to solve for v
and then use the assignment made about v to solve for x.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

|3x-1|-3>-3


abs%283x+-+1%29+-+3+%3E+-+3

abs%283x+-+1%29+%3E+-+3+%2B+3

abs%283x+-+1%29+%3E+0

3x - 1 > 0                  OR              3x - 1 < - 0

    3x+%3E+1%2F3                  OR                  3x+%3C+1%2F3

This means that all real numbers EXCEPT 1%2F3 will satisfy this absolute-inequality, since 1%2F3 makes the inequality FALSE.