Question

Solve:$4x+3\le 6x+7$ when $x$ is a integer.

Answer 1

$4x+3\le 6x+7$

$\Rightarrow 4x+3-3\le 6x+7-3$

$\Rightarrow 4x\le 6x+4$

$\Rightarrow 4x-6x\le 6x+4-6x$

$\Rightarrow -2x\le 4$

$\Rightarrow -x\le 2$

$\Rightarrow x\ge -2$

$\therefore x\in \{-2,-1,0,1,2,...\}$