Question

Which number line represents the solutions to |x – 2| = 6?

Answer 1

The solutions are x=8 and x=-4

Explanation:

we have

`\left|x-2\right|=6`

step 1

Find the first solution

case positive

`+(x-2)=6`

`x=6+2=8`

step 2

Find the second solution

case negative

`-(x-2)=6`

`-x+2=6`

`x=2-6=-4`