The number of elements in the set
$\{x \in \mathbb{R}:(|x|-3)|x+4|=6\}$ is equal to
(1) 3
(2) 2
(3) 4
(4) 1
Correct Option: , 2
$x \neq-4$
$(|x|-3)(|x+4|)=6$
$\Rightarrow \quad|x|-3=\frac{6}{|x+4|}$
No. of solutions $=2$
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