Question

What is the solution set of |x – 6| = 8 ?
So, do i do x + 6 = 8 and then x - 6 = 8, and that's how i find my answer ?

Answer 1

first one should be x-6 = 8 and the second part should be x-6 = -8

Answer 2

solve each to find your two answers

Answer 3

The absolute value means that, regardless of whether 'x-6' is positive or negative, it always \(becomes\) positive.
|x - 6| = 8 <--- Regardless of whether 'x-6' is +8 or -8, the absolute value of it is always +8.
So, it breaks into: x - 6 = 8 or x - 6 = -8.