Sketch the indicated set. Describe the boundary of the set. Finally, state whether the set is open, closed or neither.{(x, y) : -2 ? x ? 0, 0 ? y ? 2 + x}
A.
The boundary is the triangle with vertices
(0, 0), (-2, 0), (0, -2). The set is open.
B.
The boundary is the triangle with vertices
(0, 0), (2, 0), (0, 2). The set is open.
C.
The boundary is the triangle with vertices
(0, 0), (2, 0), (0, 2). The set is closed.
D.
The boundary is the triangle with vertices
(0, 0), (-2, 0), (0, 2). The set is closed.
Answer: D
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