Question

Solve the following inequalities.
$\left|\frac{2x-4}{x+1}\right|>2$

Answer 1

it can be written as $|x-2|>|x+1|$

therefore there are 3 cases $x<-1,x=(-1,2),x>2$

therefore the respective equations are

$3>0,x<3/2,-2>1$

therefore the solution is x belongs to $(-\infty ,3/2)$