$$\frac { 10 - 4 x } { | x + 1 | } \lt 2 t$$
$\left\{\begin{matrix}x<-\frac{t+5}{t-2}\text{, }&t>2\\x>\frac{5-t}{t+2}\text{, }&t>-2\end{matrix}\right.$
$t>\frac{5-2x}{|x+1|}$
$x\neq -1$