Inequality

Algebra Level 3

The number of positive integers satisfying this inequality $\dfrac{ (x+1)(x+3)x^2 (x-2)^2 (x-3) \ln(1-x)}{(x+2)(x+3)^3 } > 0$ is?

1 solution

Vedant Saini
Dec 25, 2018

As the function $ln(x)$ is over positive $x$ ,

the function $ln(1-x)$ will be over $x < 1$ but the question is asking for $x \geq 1$ .

Thus the inequality has $\boxed{\text{no solutions}}$