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Problem 3 - Entrance Test

Determine the region defined by x² + y² ≤ 9 and |x| + |y| ≥ 3.

A. The area inside a circle of radius 3 minus a diamondB. The area inside both a circle and a diamondC. The area intersecting a circle and outside a diamondD. The area outside both circle and diamond

Correct: C

1. Graph x² + y² ≤ 9 (circle radius 3). 2. Graph |x| + |y| ≥ 3 (diamond with vertices at (±3,0), (0,±3)). 3. The intersection occurs between the circle and the diamond's exterior. 4. Region is inside the circle but outside the diamond. Correct answer: C.