For any two sets A and B, if A=B,then A=B صواب ihi

Q: If A and B are sets, and A = B, then A and B cannot be disjoint. True False

A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

Q: 2. Find sets A, B, C, D such that the sets (An B) U (C\ D), ((An B)U C) \ D, An(BU C) \ D, An(BU (C\…

A: Example of such set A,B,C,D are given below

Q: IF A and B are sets then A-BC A UB

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Q: For all sets A B and c, of CAXC)- CBrC)# Ø, then A-B#¢.

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Q: (3) For sets A, B, and C in some universal set U, prove or disprove the following. (a) AnC = B nc =…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Show that for all sets A, B and C, If A CB, then B CA.

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Q: Show by membership that for all sets A, B and C: A-(ANB) CA-B

A: Sets and relations

Q: What can you say about the sets A and B if A ⊕ B = A?

A: The symmetric relation is described as, A ⊕ B =(A-B) U (B-A)

Q: If A, B,C, and D are sets, does it follow that (A ⊕ B) ⊕ (C ⊕ D) = (A ⊕ C) ⊕ (B ⊕ D)?

A: The symmetric difference between the set is associative and commutative. So, (A⊕B) ⊕C=A⊕(B⊕C)…

Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

Q: For every two sets A and B, if A–B = B – A , then A-B=Ø. For every two sets A and B, ANBCA-B.

A: (4) Given A and B are two set such that A-B=B-A for every A and B We have to show that A-B=∅ Now,…

Q: Use the Venn diagram shown to the right to determine whether the given sets are equal for all sets A…

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Q: For any sets A, B, show that (A \ B)c = Ac ∪ B.

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Q: What can you say about the sets A and B if (An B') = {}

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Q: Let A, B be any sets with ACB. Then O None of these O IP(BxB)|s|P(A×B)| O IP(A×B)=|P(B×B) O…

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Q: If A and B are sets; Aºand Bºdenote the complements of the sets A and B, then the set (A – B) U (B –…

A: Given:- If A and B are sets; Ac and Bc denote the complements of the sets A and B, then the set (A -…

Q: If A C C and B C D then A U BC CU D.

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Q: Show that if A, B, and C are sets, then|A ∪ B ∪ C| = |A| + |B| + |C| − |A ∩ B| − |A ∩ C| − |B ∩ C| +…

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Q: Given some set A and the universal set U we would say that A u U would result in which of the…

A: Set: A set is a well defined collection of objects. A universal set is a set which contains elements…

Q: Show that for all sets A, B, and C, if A C BUC, then ANC + Ø or A C B.

A: In order to prove this we need to use the property that if X⊂(Y∪Z) ⇔X⊂Y or X⊂Z

Q: For all sets D, E and F, if D- FCE-F then DUF CEUF.

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Q: For any two sets A and B, if m* (A) = 0, then m* (AUB) = m* (B). In particular, if BCA, then m* (B)…

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Q: If A, B, and C are sets such that A ∩ B ≠ Ø and B ∩ C ≠ Ø, then A ∩ C ≠ Ø

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Q: or any of the sets id, bic it a,bsCthen a b anteo

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Q: If A and B are any two sets and AUB = . A n B, then

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Q: Prove by contradiction, for any sets A and B , if A CA- B, then An B = Ø

A: We want to prove if  A ⊂ A - B, then A ∩ B = ∅

Q: What can you say about the sets A and B if we know that a) A ∪ B = A? b) A ∩ B = A? c) A − B = A? d)…

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: If S and T are two sets such that S has 21 elements, T has 32 elements, and   S ∩ T has 11 elements,…

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Q: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: For any sets A and B, (AU B)

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Q: 19. For all sets A, B, and C, if AC BandACC then AC BnC.

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Q: For any two sets A, B define A ⊗ B as the elements that are unique to A and unique to B. Is, A ⊗ (B…

A: Given that A and B are two set,  Define A ⊗ B as the elements that are unique to A and unique to B.…

Q: Let A, B and C be any three sets. Then Ax (BUC)=

A: Given that A, B and C are three sets. We need to find A×{B ∪ C}.

Q: For all sets A and B, if A ⊆ B then Bc ⊆ Ac.Some of the sentences in the following scrambled list…

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Q: If A and B are sets such that ACB then A × BC B x B. true false

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Q: What is the union of sets A and B?

A: Assume the independent sets A and B. Set A = 0,1,2Set B = 4,5,6

Q: Give a counterexample to show that the statement For all sets A, B and C, if A⊈BandB⊈C,thenA⊈C.…

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Q: If A and B are sets, then P(A) U P(B) = P(A U B). Select one: o True o False

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Q: Prove the following: For all sets A and B, if A C Bº then AN B = Ø.

A: Assume that for some A⊂Bc then A∩B≠∅. Thus, there exits x∈A∩B.

Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: Let A B be any Sets then A B ifp PA) e PCB)

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Q: Let A, B, and C are three sets, prove that B×(AnC)=(B× A)^(B×C)

A: Given 3 sets A, B and C. We have to prove that B×A∩C=B×A∩B×C. For this, we have to show that…

Q: For an element to be in the union of sets A and B, the element must be in set A in set B. but not…

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Q: Let A and B be sets. Then B - (B – A) AN B is equal to the above

A: Let A and B be sets  Let x∈B-B-A ⇔x∈B and x∉B-A ⇔x∈B∧x∉B∨x∈A⇔x∈B∧x∉B∨x∈B∧x∈A⇔x∈B∧x∈A⇔x∈A∩B ( since…

Q: For any sets A  B, C, ( A ∩ B) ∪ C ≠ A ∩ ( B ∪ C). True or False.

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Q: If A,B and C are sets, then A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

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Q: Let A, B,C be three sets. Show that if BC A and CCA\B, then BC A\C.

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Q: Show by membership that for all sets A, B and C: A - (AnB) CA – B

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Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

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