Question

Solve the following inequality:
$\frac{x^2+2x-3}{x^2+1}<0$

Answer 1

$\frac{x^2+2x-3}{x^2+1}<0$

$x^2+2x-3<0$

As $x^2+1>0\forall xϵR$

$x+3x-x-3<0$

$(x-1)(x+3)<0$

$xϵ(-3,1)$