# How do you solve and graph 3 ( 2 - x ) > 4 ( 2 - x )?

Jul 22, 2015

Simplify both sides by expanding the terms; then perform basic arithmetic on both sides (that doesn't involve reversing the sign), to get to get $x > 2$
(see below for graph)

#### Explanation:

$3 \left(2 - x\right) > 4 \left(2 - x\right)$

$\textcolor{w h i t e}{\text{XXXX}}$expanding both sides
$6 - 3 x > 8 - 4 x$

$\textcolor{w h i t e}{\text{XXXX}}$Add $4 x$ and then subtract $6$ from both sides
$x > 2$
graph{x > 2 [-10, 10, -5, 5]}