Question

14x/x+1-9x-30/x-4
$14x \div x + 1 - 9x - 30 \div x - 4 < 0$
​

Answer 1

Step-by-step explanation:

Inequality is equivalent with

(x−1)(x−6)

(x+1)(x−4)

<0.

Function f(x)=

(x−1)(x−6)

(x+1)(x−4)

has sign + on intervals (−∞,−1), (1,4), (6,∞) and sign − on intervals (−1,1) and (4,6).

Therefore, only integer solutions that satisfy inequality are 0 and 5.