Q. Number of integer solutions of $\frac{x + 2}{x^{2} + 1} > \frac{1}{2}$ is
A) 0
B) 1
C) 2
D) 3
Explanation
(d)
Given that, $\frac{x + 2}{x^{2} + 1} > \frac{1}{2}$
$\Rightarrow \ \ \ x^{2} - 2x - 3 < 0$
$\Rightarrow \ \ \ (x - 3)(x + 1) < 0$
$\Rightarrow \ - 1 < x < 3$
The integer value of $x$ are 0, 1, 2
$\therefore$ The number of integral solutions are 3
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.