Question

How do you graph and solve `| 3x-12 |>0`?

Answer 1

`x > 4 or x < 4`

Explanation:

`|3x - 12| > 0`
We need to solve the absolute value
We know either
`3x - 12 > 0 or 3x - 12 < - 0`
So, we gonna solve the first one or the first possibility
`3x - 12 > 0`
`3x > 0 + 12`
`3x > 12`
Divide both sides by 3
`(3x)/3 > 12/3`
`x > 4`

Now let solve the second one or the second possibility
`3x - 12 < - 0`
`3x < -0 + 12`
`3x < 12`
Divide both sides by 3
`(3x)/3 < 12/3`
`x < 4`

Thus,
Our final answer is : `x > 4 or x < 4` graph{|3x - 12| > 0 [-10, 10, -5, 5]}