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If A ⊂ B, then A ∩ B = A ∪ B. a) sometimes b) always c) never

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The Answer is Never- Hope this helps and have a great day!

Step-by-step explanation:

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)

Credit to -virtuematane

User Ujjwal Dash
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