Question

Solve the inequality for real $x$.

$37-(3x+5)\ge 9x-8(x-3)$

Answer 1

Given, $37-(3x+5)\ge 9x-8(x-3)$
$\Rightarrow 37-3x-5\ge 9x-8x+24$
$\Rightarrow 32-3x\ge x+24$
$\Rightarrow 32-24\ge x+3x$
$\Rightarrow 8\ge 4x\Rightarrow x\le 2\text{or}x\in (-\infty ,2]$