Final answer:
Option B. Without specific information about the relationship between given sets, we cannot prove which, if any, of the statements concerning their union or intersection equals or is a subset of another set B.
Step-by-step explanation:
The question seems to be asking to prove that the union or intersection of sets A1, A2, …, An relates to set B in a particular way. However, without any specific information about the relationship between sets A1, A2, ..., An, and B, we cannot prove any of the following statements to be correct:
- A1 ∪ A2 ∪…∪ An = B
- A1 ∩ A2 ∩…∩ An = B
- A1 ∩ A2 ∩…∩ An ⊆ B
- A1 ∪ A2 ∪…∪ An ⊆ B
Each statement above assumes a very specific condition between these sets, such as exactly equal set union or intersection, or subset relationships. It's also worth noting that the notations used denote the following: '∪' is set union, '∩' is set intersection, and '⊆' denotes subset. To evaluate these statements, one would typically need to know the exact elements contained in each of the sets or a defined property that relates them. Given the lack of information, we cannot substantiate these claims.