how to solve this inequality

**marie7** · Jul 31st 2009, 09:50 PM

[4 / (1 - x)] < 2

**alexmahone** · Jul 31st 2009, 10:06 PM

Originally Posted by marie7

[4 / (1 - x)] < 2

$\frac{4}{1-x} < 2$

$\frac{2}{1-x} < 1$

$\frac{2}{1-x}-1<0$

$\frac{1+x}{1-x} < 0$

Case 1: $1+x>0$ and $1-x<0$

$x>-1$ and $x>1$

ie $x>1$

Case 2: $1+x<0$ and $1-x>0$

$x<-1$ and $x<1$

ie $x<-1$

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