A union (A intersection B )= A
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Answer:
it is a proof.
Step-by-step explanation:
A is a set . and B is a set. They may be disjoint or have a non empty intersection.
A ∩ B is a set of elements of A that are in A and in B. It means that A ∩ B is a subset of A (and of B too).
A ∩ B ⊆ A
We know that A Union with any of its subsets is equal to A itself.
A ∪ C = A of C ⊆ A
Hence , A U ( A ∩ B) = A .
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