Question

How do you solve `-2x+6<x-6`?

Answer 1

`x > 4`

Explanation:

Given
`color(white)("XXX")-2x+6 < x-6`

Add `2x` to both sides
`color(white)("XXX")6 < 3x-6`

Add `6` to both sides
`color(white)("XXX")12 < 3x`

Divide both sides by `3`
`color(white)("XXX")4 < x`

(This could be inverted to get a more standard form with `x` on the left as)
`color(white)("XXX")x > 4`

Answer 2

`4 < x` or `x>4`

Explanation:

=>`-2x+6 < x-6`

=> `6 < x-6+2x`

=>`6+6 < 3x`

=>`12/3 < x`

=>`4 < x`