SOLUTION: Hi! Solve the inequality and express the solution using the interval notation. abs(2x+1)> 1 thanks!

Question 198473: Hi!
Solve the inequality and express the solution using the interval notation.
abs(2x+1)> 1
thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
abs(2x+1)> 1
====================
Since x is a variable value,
2x+1 might be positive or it might be negative.
----------------
If it is positive you get:
(2x+1) > 1
2x > 0
x > 0
--------------
If it is negative you get:
-(2x+1) > 1
2x+1 < -1
2x < -2
x < -1
---------------
So your solution is x < -1 OR x > 0
---
Using interval notation:
(-inf,-1) U (0,+inf)
==============================
Cheers,
Stan H.

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