Question

Solve the inequality for real $x$.

$3(2-x)\ge 2(1-x)$

Answer 1

Given, $3(2-x)\ge 2(1-x)$
$\Rightarrow 6-3x\ge 2-2x$
$\Rightarrow 6-2\ge 3x-2x$
$\Rightarrow x\le 4$

$\Rightarrow x\in (-\infty ,4]$