Question

$\frac{2x - 1}{x - 3} \geq 5$ :

Answer 1

$\frac{2x-1}{x-3} - 5 \geq 0--\ \textgreater \ \frac{2x-1-5x+15}{x-3} \geq 0--\ \textgreater \ \frac{-3x+14}{x-3} \geq 0;$ $\left \{ {{-3x+14 \geq 0} \atop{x-3 \geq 0}} \right. --\ \textgreater \ \left \{ {{14 \geq 3x} \atop {x \geq 3}} \right. --\ \textgreater \ \left \{ {{x \leq \frac{14}{3} } \atop {x \geq 3}} \right. --\ \textgreater \ 3\leq x \leq \frac{14}{3}$