The number of elements in
Question:
The number of elements in the set $\{x \in \mathbb{R}:(|x|-3)|x+4|=6\}$ is equal to
Correct Option: , 2
Solution:
$x \neq-480$
$(|x|-3)(|x+4|)=6$
$\Rightarrow \quad|x|-3=\frac{6}{|x+4|}$
No. of solutions $=2$