The solution set of the equation |x - 1| = 3 is _____

To find the solution set of the equation |x - 1| = 3, we need to consider two cases: when x - 1 is positive and when x - 1 is negative.

Case 1: x - 1 is positive In this case, the equation becomes x - 1 = 3. Adding 1 to both sides, we get x = 4.

Case 2: x - 1 is negative In this case, the equation becomes -(x - 1) = 3. Distributing the negative sign, we get -x + 1 = 3. Subtracting 1 from both sides, we get -x = 2. Multiplying both sides by -1, we get x = -2.

Therefore, the solution set of the equation |x - 1| = 3 is {4, -2}.