# Solve the following

Question:

If $\frac{x-3}{|x-3|} \geq 0$, then $x$ belongs to the interval ________________

Solution:

If $\frac{x-3}{|x-3|} \geq 0$

$\Rightarrow \quad|x-3| \geq 0$

i. e. $\quad x-3 \geq 0$

i.e. $\quad x \geq 3$

i.e. $\quad x \in[3, \infty)$