SOLUTION: |x|/(2x-1) >= 1 how do you solve this inequality? im not sure how the working goes

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Question 866679: |x|/(2x-1) >= 1
how do you solve this inequality?
im not sure how the working goes
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
|x|/(2x-1) >= 1
how do you solve this inequality
***
|x|/(2x-1) ≥ 1
2-solutions:
case 1
x ≥ 2x-1
-x≥-1
x≤1
..
case 2
x≥-2x+1
-3x≥1
3x≤-1
x≤-1/3
..
Check:
for x≤1
|x|/(2x-1) =1/(2-1)=1
..
for x≤-1/3
|x|/(2x-1)=1/3/(-2/3+1)=(1/3)/(1/3)=1
check ok