\ x ∈ ℝ: (14 x)/(x+1)-(9 x-30)/(x-4) < 0\ is equal to

30)(x+1)}{(x+1)(x-4)} < 0\frac{14 x^2-56 x-\left(9 x^2-30 x+9 x-30\right)}{(x+1)(x-4)} < 0\frac{\left(14 x^2-56 x-9 x^2+30 x-9 x+30\right)}{(x+1)(x-4)} < 0\frac{\left(5 x^2-35 x+30\right)}{(x+1)(x-4)} < 0\frac{\left(x^2-7 x+6\right)}{(x+1)(x-4)} < 0, \frac{(x-1)(x-6)}{(x+1)(x-4)} < 0$Drawn number line,<br/><img src="/api/proxy-image?url=httpsHence,$x \in(-1,1) \cup(4,6)