Final answer:
The region inside the circle described by the equation (x - 1)² + y² = 1 is a circle with center (1, 0) and a radius of 1 unit.
Step-by-step explanation:
The equation given (x - 1)² + y² = 1 represents a circle. To determine the region inside this circle, we first look at its structure. The format of the equation is aligned with the standard form of a circle's equation, which is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is the radius.
Comparing the given equation to the standard form, it is clear that our circle has a center at (1,0) and a radius of 1. Thus, the region inside the circle is actually a circle with a radius of 1 unit centered at the coordinate (1,0). Therefore, the correct answer is c) A circle with center (1, 0).