Sketch the indicated set. Describe the boundary of the set. Finally, state whether the set is open, closed or neither.{(x, y) : 1 < (x - 2)2 + y2 ? 3}
A. 
The boundaries are two circles, one of
radius 1 and the other of radius 3, both
centered at (2, 0). The set is neither closed or open.
B. 
The boundary is the circle of radius 3
centered at (2, 0). The interior is the
set of all points within the circle.
The set is open.
C. 
The boundary is the circle of radius 1
centered at (2, 0). The interior is the set
of all points within the circle.
The set is closed.
D. 
The boundaries are two circles, one of
radius 1 and the other of radius 3, both
centered at (2, 0). The interior is the set
of all points in between the two circles.
The set is closed.
Answer: A
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