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Example of a similar problem (for reference):

Suppose the problem was: Find the area of the region where both |x| + |y| ≤ 1 and |x - 1| + |y| ≤ 1.

Solution:

1. Graph the regions:

   • |x| + |y| ≤1 is a diamond (rotated square) with vertices at (±1,0), (0,±1).
   • |x-1| + |y| ≤1 is another diamond with vertices at (0,0), (2,0), (1,±1).

2. Find overlap:
   For y ≥0 (symmetric over x-axis):

   • 0 ≤x ≤0.5: y ≤x (intersection of y ≤1-|x| and y ≤1-|x-1|).
   • 0.5 ≤x ≤1: y ≤1-x.

3. Calculate area:
   Upper half area = ∫₀⁰·⁵ x dx + ∫₀·⁵¹ (1-x) dx = 0.125 +0.125=0.25.
   Total area = 2×0.25=0.5 (or 1/2).

Answer: 1/2.

But this is just an example—please share your actual problem text for an accurate solution!

Let me know the problem details, and I'll assist you properly.

作者声明:本文包含人工智能生成内容。