Question

Solve the inequation $\frac{1}{x-2}<0$ in $R$.

Answer 1

$\frac{1}{x-2}<0$

We have $x-2\ne 0$

$\Rightarrow x\ne 2$

If $\frac{1}{x-2}<0$ then $\frac{1}{x-2}$ must be negative.

$x$ is less than $2$

$\therefore$Solution is $x\in (-\infty ,1)$