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The region bounded by the graph of |x| + |y| = 1 is a:

Question

The region bounded by the graph of |x| + |y| = 1 is a:

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Solution

The region bounded by the graph of |x| + |y| = 1 is a square. This is because the equation |x| + |y| = 1 represents a diamond shape in the xy-plane, which is a square rotated by 45 degrees. The vertices of the square are at the points (1,0), (0,1), (-1,0), and (0,-1).

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