The solution set of the equation Ix-1I=3 is

x = - 2 or x = 4

Step-by-step explanation:

the expression inside the absolute value can be positive or negative

Removing the bars and solve x - 1 = ± 3

x - 1 = - 3 or x - 1 = 3

x - 1 = - 3 (add 1 to both sides) ⇒ x = - 2

x - 1 = 3 (add 1 to both sides) ⇒ x = 4