If A and B are two sets such that A∪B=A∩B, then _____?
- B≤A
- A=B
- A≤B
- None of these
Explanation
Given:
A ∪ B = A ∩ B
This equation implies that every element that is in A or B (or both) is also in both A and B.
This can only be true if:
A = B
or, in other words, A and B have exactly the same elements.
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