Question

|x - 1| = 4

Answer 1

Like your last problem, consider two cases.

1. If x - 1 > 0, i.e., if x > 1, then
|x-1| = x-1
hence the equation is
x - 1 = 4

2. If x - 1 < 0, i.e., if x < 1, then
|x-1| = -(x-1) = -x + 1
and the equation is
-x + 1 = 4

Solve each of those equations in turn.

Answer 2

Make sense?

Answer 3

Sorta. Thank you so much!!!