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

  1. 3

  2. 2

  3. 4

  4. 1


Correct Option: , 2

Solution:

$x \neq-480$

$(|x|-3)(|x+4|)=6$

$\Rightarrow \quad|x|-3=\frac{6}{|x+4|}$

No. of solutions $=2$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now