SOLUTION: Today I have a question about how to solve inequalities and how to graph them as well. The problem I have is |3x-2|+7=11 I think I got the answer correctly, however because it i

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Question 96446: Today I have a question about how to solve inequalities and how to graph them as well.
The problem I have is |3x-2|+7=11
I think I got the answer correctly, however because it is an absolute value in the equation i also have to solve the problem as if the 11 were a negative.
Ex. |3x-2|+7=-11
I got an answer, it just does not look correct to me.
The answer I got is x=-16/3
Is that correct or way off?
If someone could please give me the CORRECT answer and how they got it, I would greatly appreciate it.
As well as inform me on how to graph this inequality on a line.
Thank you, Arianna.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
|3x-2|+7=11
Subtract 7 from both sides to get
|3x-2| = 4
The 3x-2 must be 4 or it must be -4
3x-2=4 or 3x-2= -4
3x=6 or 3x=-2
x = 2 or x=-2/3
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I don't know what kind of graph you are trying to
sketch since there is no "y" value stated in the
problem. You can only solve for "x" which has
been done above.
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cheers,
Stan H.