Question

Solve the following inequality:
$\frac{x}{x-5}>\frac{1}{2}$

Answer 1

$\frac{x}{x-5}>\frac{1}{2}$

$\frac{x}{x-5}-\frac{1}{2}>0$

$\frac{2x-x+5}{2(x-5)}>0$

$\frac{x+5}{x-5}>0$

$xϵ(-\infty ,-5)\cup (5,\infty )$