Question

Solve:$3(2-x)\ge 2(1-x)$ when $x$ is an integer.

Answer 1

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

$\Rightarrow 6-3x\ge 2-2x$

$\Rightarrow 6-3x-6\ge 2-2x-6$

$\Rightarrow -3x\ge -2x-4$

$\Rightarrow -3x+2x\ge -2x-4+2x$

$\Rightarrow -x\ge -4$

$\Rightarrow x\le 4$

When $x\in I,$ the solution set is $\{,....,-2,-1,0,1,2,3,4\}$