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5 votes
If A ⊂ B, then A ∩ B = A ∪ B.

always
sometimes
never

1 Answer

3 votes

Answer: Third option.

Explanation:

A ⊂ B this means that A is subset of B.

If A is subset of B (A ⊂ B), then all the elements of A belong to the subset B.

For example, the set of the Natural numbers is a subset of the Real Numbers.

Then, A ∩ B are all the elements that belong to AB at the same time.

A ∪ B are all the elements of A and all the elements of B.

But if we already said that A is inside of B, then:

A ∩ B = A ≠ A ∪ B

A ∩ B = A ∪ B only happen when the set A=set B.

Therefore, the answer is: NEVER.

User Owenmelbz
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