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Give an example of sets A and B such that there union is equal to B and there intersection is equal to A?
Wiki User
∙ 13y ago
A = { 0 }
B = { 0, 1 }
Or, in fact, any set would would, as long as A = B. Or A = an empty set.
Wiki User
∙ 13y ago
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Can you give an example of a union set?
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Give an example to show that if A union B and A intersection B be given then A and B may not be uniquely determined?
The set A union B can be decomposed into three disjoint sub sets A\ (A int B), B\(A int B), and (A int B). So in this case (A union B) and (A int B) are fixed but "moving" elelments from A\ (A int B) into B\(A int B) will not affect (A union B) and (A int B). You should be able to fill in the details now.
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cantor set
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Give an example to show that if A union B and A intersection B be given then A and B may not be uniquely determined?
The set A union B can be decomposed into three disjoint sub sets A\ (A int B), B\(A int B), and (A int B). So in this case (A union B) and (A int B) are fixed but "moving" elelments from A\ (A int B) into B\(A int B) will not affect (A union B) and (A int B). You should be able to fill in the details now.
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