If A and B are any 2 sets and A, B are subsets of U then is

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answer is A.

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Detailed Solution

We are given that the sets A, B are subsets of U.
The universal set is the set which is the bigger set of all the sets.
Let U be the set such that includes both sets A and B.
Represent the given information using a Venn diagram.
Let A={1,2,} B={2,3 and U={1,2,3,4} which satisfies the condition that A and B are subsets of U.
Then, we will have.
Question Image

We want to find the value of the A′, which is the complement of A.
Compliment of the set includes all the elements of the universal set except the elements of the set.
Then, A′={2,3,4}
We have to find the value of A∪A′
Which implies {1,2}∪{2,3,4}={1,2,3,4}.
Which is also equal to U.
Question Image

Hence,

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