Question

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

Answer 1

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(2-x) > 4(2-x)`

`color(white)("XXXX")`expanding both sides
`6 -3x > 8 -4x`

`color(white)("XXXX")`Add `4x` and then subtract `6` from both sides
`x > 2`
graph{x > 2 [-10, 10, -5, 5]}