ts operations r cach of the following two theorems, either show that the theorem is truc or disprove the theorem. It is ceptable if you choose to use Venn diagrams as part of your explanations. Formal proofs are not required. 1. Theorem 1 Let U be a universe. For all sets A, B, C CU, we have (A\B)U (B\C)U (C\ A) = (AN B nC). 2. Theorem 2 Let U be a universe. For all sets A, B,CCU, we have [(AO B) \ C]U [(AUC)\B] = C \ B.

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Sets operations help required

Sets operations
For cach of the following two theorems, either show that the theorem is true or disprove the theorem. It is
acceptable if you choose to use Venn diagrams as part of your explanations. Formal proofs are not required.
1. Theorem 1 Let U be a universe.
For all sets A, B,C CU, we have (A \ B)U (B \ C)U (C \ A) = (ANBNC).
2. Theorem 2 Let U be a universe.
For all sets A, B,CCU, we have [(A ® B) \ C]U [(AUC) \ B] = C \B.
Transcribed Image Text:Sets operations For cach of the following two theorems, either show that the theorem is true or disprove the theorem. It is acceptable if you choose to use Venn diagrams as part of your explanations. Formal proofs are not required. 1. Theorem 1 Let U be a universe. For all sets A, B,C CU, we have (A \ B)U (B \ C)U (C \ A) = (ANBNC). 2. Theorem 2 Let U be a universe. For all sets A, B,CCU, we have [(A ® B) \ C]U [(AUC) \ B] = C \B.
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