Mathematics · Real Analysis
Let X = &mathbb{R} with the usual metric, and for a ∈ X and r > 0, let Br(a) = {x ∈ X : d(x, a) 0 such that Br(x) ∩ Br(y) = φ. Q: If E is a closed subset of &mathbb{R}$, then there exists r > 0 such that E ⊆ Br(0). Which of the statements is/are true?
- 1Only P✓
- 2Both P and Q
- 3Neither P nor Q
- 4Only Q
Correct answer
Only P
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