SOLUTION: |2x-1|>3 How do I do this and graph this problem?

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Question 905025: |2x-1|>3
How do I do this and graph this problem?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is only 1 variable, so you
would plot it on the x-axis.
+abs%28+2%2A2+-+1+%29+=+3+
+abs%28+2%2A%28-1%29+-+1+%29+=+3+
----------------------
From this, I see that
+x+%3C+-1+ and
+x+%3E+2+
--------------
You can plot this on the x-axis
+y+ does not exist in the plot

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the definition of absolute value. Either 2x-1%3E3 OR 2x-1%3C-3.
Solve each of those.


Either 2x%3E4
highlight%28x%3E2%29
OR
2x-1%3C-3
2x%3C-2
highlight%28x%3C-1%29

The drawing code will take too long to make right.

Open point at -1 and positive 2.
Shade ray to the left of -1;
shade ray to the right of positive 2.

<==================o--------------------o===================>
----------------------(-1)-----0------------2-----------------