Using properties of sets, show that for any two sets A and B, (A union B) intersection (A union B') = A
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Answer:
Given (A∪B)∩(A∪B
′
)
=((A∪B)∩A)∪((A∪B)∪B
′
)
=A∪((A∪B)∩B
′
)
=A∪(A∩B
′
)∪(B∩B
′
)
=A∪(A∩B
′
)=A.
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