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Wewaii [24]
3 years ago
11

If A ⊂ B, then A ∩ B = A ∪ B. always, sometimes, never

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

The answer is never.

posledela3 years ago
3 0
<h2>Answer:</h2>

Hence, the property:

            A ∩ B = A ∪ B never hold .

<h2>Step-by-step explanation:</h2>

We are given that set  A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B  (Since B is a bigger set)

                   Hence, A∩B ≠ A∪B  (Since A≠ B)

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