How do you graph and solve |1/x| > 2?

May 18, 2016

$x \in \left(- \frac{1}{2} , \frac{1}{2}\right)$. The graph is the line segment on the x-axis, in between $x = - \frac{1}{2} \mathmr{and} x = \frac{1}{2}$, sans the end points.

Explanation:

This is equivalent to $| x | < \frac{1}{2}$ which is the combined inequality for the pair $x < \frac{1}{2} , \mathmr{and} - x < \frac{1}{2}$ which is equivalent to $x > - \frac{1}{2}$.

So, $x \in \left(- \frac{1}{2} , \frac{1}{2}\right)$.

The graph is the line segment on the x-axis, in between

$x = - \frac{1}{2} \mathmr{and} x = \frac{1}{2}$, sans the end points.