The sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total number of elements A ∩ B are...

Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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Q: For all sets A, B, and C, if B ∪ C ⊆ A then (A − B) ∩ (A − C) = ∅. Let the universal set U be {1,…

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Q: Consider two sets A and B such that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Find the set C…

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Q: Give the inclusion – exclusion formula for four sets where A U B U C U D in terms of sizes of in

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