SOLUTION: I need help with this absolute value rational inequality: |(2/3)x -1| - 2 >1/3 The solution should be: (-infinity, -2) U (5,infinity) I a getting 5 right but I cant figut

Question 436360: I need help with this absolute value rational inequality:
|(2/3)x -1| - 2 >1/3
The solution should be:
(-infinity, -2) U (5,infinity)
I a getting 5 right but I cant figute out how to get -2.
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
|(2/3)x -1| - 2 >1/3
The solution should be:
(-infinity, -2) U (5,infinity)
I a getting 5 right but I cant figute out how to get -2.
----------------------------------
|(2/3)x -1| - 2 >1/3
---
Add 2 to both sides to get:
---
|(2/3)x -1| > 2 + 1/3
------
|(2/3)x -1| > 7/3
---------------------------
(2/3)x-1<-7/3 or (2/3)x-1>7/3
----
(2/3)x < -4/3 or (2/3)x > 10/3
---
x < -2 or x > 5
----
Solution:
(-inf,-2)U(5,+inf)
===========================
Cheers,
Stan H.
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