What can you say about the sets A and B if we know that A (symmetric difference) B =A ? Prove your answer

Q: What can we say about the sets A and B if we know that A∩B=A  ?

A: Given A and B two sets such that A ∩ B = A

Q: Given A = {1, 3, 6, 8, 9, 12, 15} and B = {6, 9, 12}, which is TRUE? Choose from the choices below…

A: a) disjoint set: In mathematics, two sets are said to be disjoint sets if they have no element in…

Q: For sets A and B, define the symmetric difference of A andB by ΑΔΒ (Α-Β) υ (B-). %3D Define A =…

A: We have to find the number of elements in the required set.

Q: Are the given sets equivalent? A = {1, 2, 9} and B = {3, 4, 6, 7} yes O no

A: In this question, we have to tell set is equivalent. The definition of equivalent sets states that…

Q: Are the sets equivalent? A= (15, 16, 17, 18, 19) B=(14, 15, 16, 17, 18) %3D O Yes ONo

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Q: State whether the following claim is true and explain why. (a) Claim: For all sets A, B, and C: (A –…

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Q: Answer the following questions about the given sets. a. Are the sets equivalent? Explain. b. Are the…

A: Answer the following questions about the given sets.aAre the sets equivalent? explainbAre the sets…

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: Use an algebraic proof to show that for all sets X ,Y and Z : (X – Y)n ZC = x – (Y u Z) Do not…

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Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: Consider the sets. A = {distinct letters in the word miss} B = {13} C = {m, i, s} D = {3+ 1} E =…

A: This question is about set therories

Q: a) Disjoint, non-empty sets A, B, and C such that Aº N (BUC)= A° Is there such an example?

A: Soln :- Disjoint, non-empty sets A,B & C such that  ACn (B∪C)=Ac Yes,      One can always find…

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

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

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

A: Using venn diagram we solve this question.

Q: A A В В C A = {architects} B = {Bolivians} C = {Christians} U = {people living on Earth}

A: Check in which set people belong

Q: Please use the computer for the solution and not write by hand Find five different Topological…

A: Topological space :- A collection T of subsets of a non empty set X is called topology on X , if it…

Q: b) By using the laws of set theory, show that [(A U B) n (An C)] u (B n C) = A U B.

A: Here we have to prove left hand side is equivalent to right hand side using laws of set theory

Q: Explain the difference between set A and set B

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Q: Let A, B, U and V be any sets such that A⊆U and B⊆V. Is (A×B)⊆(U×V)? Justify your answer

A: In the given question we have to justify that, is the set A×B⊆U×V where A⊆U and B⊆V. for the…

Q: R, S and T are closed sets implies RnSnT is closed.

A: given

Q: Give an example of three sets A,B and C such that A ⊆ B, B ⊆ C, C 6⊆ A and C ⊆ B.

A: We construct  an example of three sets A,B and C such that A ⊆ B, B ⊆ C, C 6⊆ A and C ⊆ B.

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4>x},…

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Q: Is it true that (A×A)∖(B×B)=(A∖B)×(A∖B) for any two sets A, B? If it is true, prove it. Otherwise,…

A: Cartesian product and identity

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: Consider the drawing below: C Write a paragraph that explains why the following proposition is false…

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Q: Answer the questions with Yes or No, and then explain why yes or why not. Justify your answer. Does…

A: The equality A∪B=A+B is not always true for every sets A and B. It is true only when A and B are…

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A = {x|4 > x},…

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Q: 4. The symmetric difference of two sets A and B is the set AAB (AUB)- (AnB) If A = (1,2, 3) and B =…

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Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set…

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Q: Use the set theory definition of addition to show that 1 + 4 = 5. You may do the work on paper then…

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Q: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

Q: Is this statement true or false.  Justify your answer. (Discrete Math)   For all sets A, B, and C,…

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Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

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Q: TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

A: We have to say whether it is true or not " The union of two sets A and B is the set of all elements…

Q: The intersection of sets A and B is denoted by which of the following?(a) A ∩ B (b) A ∪ B (c) A ⊆ B…

A: Sets are represented as the collection of different objects . There can be a finite set or an…

Q: hat are the sets Ø x B, Ø x D, and Ø x E? 4.What are the sets Ax B and B x A? Are these two sets…

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Q: 4) Listen What can we say about the sets A and Bif we know that ANB= A ? (you may use words or…

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Q: 3.* Show that (A \ B) \ C = A \ (BUC). Is (A \ B)\C = A\ (B\C)? 4.* If A and B are sets, we define…

A: Set equality proof

Q: Exercise 1.5.5. (a) Why is A- A for every set A? (b) Given sets A and B, explain why A~ B is…

A: (a) To prove that, A ~ A for every set A.

Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: our answer Prove or disprove For all sets A. B and C, ir ABOC-0, then A. B and C are UD. AN, A.A-B.…

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Q: For all sets A, B, and C. Is (A ∩ B) ∪ C = A ∩ (B ∪ C)? Justify your statement. You may justify…

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Q: What is the size of the symmetric difference of two finite sets A and B, that is AA BI ? o IIAI -…

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Q: Consider the sets to answer the following questions attached: A = {a, b, c, d, e, f, h, j} B = {a,…

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