(a) Given the metric space R², d where d is the usual metric defined on R2. Let S C R² be a subset defined by {(x, y) = R²: x² + y² <1, x² + (y − 2)² ≤ 4} (i) Is the set S relatively open or relatively closed in subspace that is the open ball B₁ (0,0)? Justify. (ii) Is the set S relatively open or relatively closed in subspace that is the closed ball B₂(0, 2)? Justify your answer.

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