Mathematics · Real Analysis
Suppose that A and B are two non-empty subsets of the set of real numbers ℝ and C = A ∩ B. Which of the following conditions implies that C is empty?
- 1A is open and B is compact
- 2A and B are both dense in ℝ
- 3A and B are open and C is closed
- 4A and B are open and C is compact✓
Correct answer
A and B are open and C is compact
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