Question

What is the solution set for `abs(x – 6) = 4`?

Answer 1

With abosutes there are (usually) two solutions

Explanation:

(1)
`x>=6->x-6>=0` the brackets don't have to do their work:
`->x-6=4->x=10`
(2)
`x<6->x-6<0` the brackets flip the sign:
`-(x-6)=4->-x+6=4->x=2`

Answer: `x=2or x=10`