Question

Evaluate values of $x$:

$2(3-x)\ge \frac{x}{5}+4$

Answer 1

$2(3-x)\ge \left(\frac{x}{5}\right)+46-2x\ge \left(\frac{x}{5}\right)+46-4\ge \left(\frac{x}{5}\right)+2x2\ge \left(\frac{11x}{5}\right)\left(\frac{10}{11}\right)\ge x\therefore x\in (-\infty ,\frac{10}{11}]$