The number of elements in the set \ x ∈ R: (| x | - 3)|x + 4| = 6\...

The number of elements in the set

\left\{x \in R: \left(| x | - 3\right)\left|x + 4\right| = 6\right\}

is equal to $The number of elements in the set \ x ∈ R: (| x | - 3)|x + 4| = 6\ is equal to$

Options

A $3$
B $2$
C $4$
D $1$

Correct answer

B. $2$

Step-by-step solution

$x \ne - 4$

\left(\left|x\right| - 3\right)\left(\left|x + 4\right|\right) = 6 $</p><p>\left(\left|x\right| - 3\right) = \dfrac{6}{\left(\left|x + 4\right|\right)}$

$The number of elements in the set \ x ∈ R: (| x | - 3)|x + 4| = 6\ is equal to$

No. of solutions $= 2$

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