Answer to Question #319102 in Algebra for Kealeboga

Question

25/x<10

Answer 1

$\frac{25}{x}<10\Leftrightarrow \frac{25-10x}{x}<0\Leftrightarrow \frac{x-2.5}{x}>0\Leftrightarrow \left[ \begin{array}{c} \left\{ \begin{array}{c} x-2.5>0\\ x>0\\\end{array} \right.\\ \left\{ \begin{array}{c} x-2.5<0\\ x<0\\\end{array} \right.\\\end{array} \right. \Leftrightarrow \left[ \begin{array}{c} x>2.5\\ x<0\\\end{array} \right. \Leftrightarrow x\in \left( -\infty ,0 \right) \cup \left( 2.5,+\infty \right)$