Question

Solve  \[\frac{\left| x - 2 \right|}{x - 2} > 0\] 

Answer 1

\[\text{ We have }, \]
\[\frac{\left| x - 2 \right|}{x - 2} > 0\]
\[\text{ As }, \left| x - 2 \right| = \binom{x - 2, x \geq 2}{2 - x, x < 2}\]
\[\text{ And } \frac{\left| x - 2 \right|}{x - 2} > 0 \text{ for } x > 2\]
\[\text{ So }, x > 2\]
\[ \therefore x \in \left( 2, \infty \right)\]