Question

If $\frac{1}{|x|-3}<\frac{1}{2}$ , determine whether $|x|$ is greater or less than 5.

Answer 1

We have,

$\frac{1}{\left|x\right|-3}<\frac{1}{2}$

Then,

$\left|x\right|-3>2$

$\left|x\right|-3+3>2+3$

$\left|x\right|>5$

Hence, this is the answer.