Question

find those x satisfying the equation |x-1|=2

Answer 1

3 and -1 is the answer

Answer 2

$|x - 1| = 2 \\ if \: x \geqslant 1 \\ (x - 1) = 2 \\ x = 3 \\ if \: x \leqslant 1 \\ - (x - 1) = 2 \\ - x + 1 = 2 \\ - x = 2 - 1 \\ x = - 1$