Answer
$ x=-4,-\frac{2}{5}$
Work Step by Step
Given: $|\frac{2x-1}{x+1}|=3$
Solve the given inequality as follows:
$\frac{2x-1}{x+1}=±3$
$2x-1=±3(x+1)$
$2x-1=3(x+1)$
This implies
$2x-3x=3+1$
$x=-4$
or
$2x-1=-3(x+1)$
This implies
$2x+3x=-3+1$
$5x=-2$
$x=-\frac{2}{5}$
Hence, the solution are $ x=-4,-\frac{2}{5}$
