Let S={1,2,3,4,5,6,7,8,9,10} be the universal set.

Q: Let the Universal set be the letters a through j: U = (a, b, ..., i, j]. Let A = {b, c, d, j}, B =…

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Q: Let U be the universal set, where: U= = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A and B be subsets…

A: We have give a Universal set ,  U = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 Let A and B are subsets…

Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A and B be subsets…

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Q: Let the universal set U = {1, 2, 3, 4, 5, 6}, and let A = {1, 2, 4}, B = {1, 2, 3, 5}, C = {x €U|x²…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Let U= x≤14 U = {x ∊ N | x ≤ 14 } be the universal set and the other sets A,B, and C are A = {1, 2,…

A: Given:

Q: Compute: (a)    n(A ∪ B) (b)    n(Ac) (c)    n(A ∩ Bc)

A: n(A ∪ B)= n(A)+n(B)-n(A ∩ B) n(Ac)= n(U) - n(A)  n(A ∩ B c)= n(A)-n(A ∩ B) Given that n(U)=200,…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, b, d, e}, B =…

A: Given Universal set is, U = {a, b, ..., i, j}. & A = {a, b, d, e}, B = {a, d, h, j}, and C = {a,…

Q: Let U be the universal set, where: U = {a, b, e, d, e, fig.h,ij} Let sets A, B, and C be subsets of…

A: Given Information :  Let U be the universal set , where : U = {a,b,c,d,e,f,g,h,i,j}   Let sets A , B…

Q: Let A. B, and C be subsets of the universal set N, where A CB and A nC = Ø. The %3D following…

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Q: Let the Universal set be the letters a through j: U = {a, b, .., i, j}. %D Let A = {a, d, f, g}, B =…

A: The universal set U is defined as, U = {a, b, c, d, e, f, g, h, i}.

Q: Let A, B, and CV be sets and U be the universal set, where U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4},…

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Q: Let A and B be subsets of a universal set U and suppose n (U) = 275, n(A) 100, п (В) = 70, п (An B)…

A: If A is subset of universal set U, then n( Ac ) =n(U)-n(A).

Q: Let S be the universal set, where: S = {1,2, 3, .., 28, 29, 30} Let sets A and B be subsets of S,…

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Q: Given a universal set U and sets A, B CU, prove that A C Bº if and only if AnB = Ø. Prove that (AN…

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Q: Let A, B and C be the subsets of U. Then prove that (A UB) – C = (A – C) U(B – C) by using laws of…

A: I have just used the law of sets

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, e, f, g}, B =…

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Q: Use the pick-a-point method to show that if A and B are subsets of some universal set U, then A ∪ (B…

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Q: Let the universal set U = {1,2,3, 4, 5,6, 8, 9, 10} and A = {1,3,5}, B = {2,4, 6,8, 10}, = {1,2,3,8,…

A: The set is defined as:

Q: Given a universal set U and sets A, B CU, prove that A C Bº if and only if AnB = 0. Prove that (AN…

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Q: Let the universal set U, and the subsets of U are A = {x|x is a letter of Almutasim name}, %3D…

A: (a) Given, U is universal set and subsets of U are sets A, B, C, and D. Hence, U = A∪B∪C∪D or  U =…

Q: Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

A: Answer is n(AUBUC)={1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 18, 19, 20}

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 23, 24, 25} Let sets A and B be subsets of S,…

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} Let sets A, B, and C be…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with other sub…

Q: Let S be the universal set, where: S= {1,2,3,.. 18, 19, 20} Let sets A and B be subsets of S, where:…

A: Definition used -    Union of sets-     A union of two sets is a set in which all elements of both…

Q: 3.Let U be the universal set and let A, B and C be subsets of U. Sketch a Venn diagram for each set.…

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Q: Consider the following statement. For all sets A, B, and C, A U (B – C) = (A U B) – (A U C). Find a…

A: The statement for all sets A, B, and C, A∪B-C=A∪B-A∪C. We have to find a counterexample to show that…

Q: A universal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) =…

A: A universal set is a set which has elements of all the related sets, without any repetition of the…

Q: Let A and B be any sets. Show that: (a) A – B, B - A, and An B are disjoint with each other. (b) A =…

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Q: Let A and B be subsets of a universal set U and suppose n(U) = 350, n(A) = 120, n(B) = 80, and n(A N…

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

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 28, 29, 30} Let sets A and B be subsets of S,…

A: Suppose A,B⊆S .Then , A∪B=x∈S: x∈A or x∈B  Ac=x∈S:x∉A .

Q: 2. Let A1, A2,..., An be subsets of the universal set U. Prove that if n > 2, then (A, U A, U...U…

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Q: Let A,B,C,D be sets. Prove that (A∩B)×(C∩D)=(A×C)∩(B×D)

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Q: Let S be the universal set, where: S={1,2,3,...,23,24,25}S={1,2,3,...,23,24,25} Let sets A and B be…

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Q: Let the Universal set be the letters a through j: U={a,b,...,i,j}U={a,b,...,i,j} . Let A=A=  {a, b,…

A: List the common elements of A and B: A∩B={a,b}

Q: Let U={j,k,l,m,n,o,p}U={j,k,l,m,n,o,p}be the universal set. Let V={m,o,p}V={m,o,p},…

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Q: Let the universal set U, and the subsets of U are A = {x]x is a letter of Almutasim name},…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {e, f, h, j}, B =…

A: Ans - Given,            U = {a, b, c, d, e, f, g, h, i, j}           A = {e, f, h, j},  B = {d, f,…

Q: Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and s, the…

A: We are given with multiple sub parts since our guideline is solve first three subparts.

Q: Let A, B and C be the subsets of U. Then prove that (A UB) -C = (A – C)U(B – C) by using laws of…

A: 1) It is the question of computer science.

Q: Let A and B be subsets of a universal set U and suppose n(U) = 300, n(A) = 150, n(B) = 120, and n(A…

A: We have given the following n(U) = 300, n(A) = 150, n(B) = 120, and n(A ∩ B) = 60.

Q: Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the…

A: Given: A=t,u,v,w (a).S1= All subset of A ,that do not contain w Therefore,…

Q: Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S,…

A: Universal Set S = {1, 2, 3,…, 18,19,20} Set A = {2, 6, 10, 12, 15, 17, 18, 19} Set B = {5, 7, 8, 14}…

Q: Let A be a set and define A = {1,2, x,y}. So which of the following is A2

A: Given that A={1,2,x,y} The objective is to find A2=A×A.

Q: 2. Let U = {a,b, c, d, e, f,g,h,i,j,k} be the universe set and let A = {d, ƒ,a, g, c}, B= {a,b, d,…

A: given A=d,f,a,g,c B=a,b,d,e,f C=b,d,f,h,j,k D=h,i,j,k (a) A∪B=a,b,c,d,e,f,g C∪D=b,d,f,h,i,j,k…

Q: 1. Let A, B, and C be the subsets of U. Then by using laws of sets prove A-(BnC)=(A– B)U(A-C)

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. %3D Let A = {a, e, g, j}, B…

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Q: Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the…

A: The set A=t,u,v,wS1 be the set of all subsets of A that do not contain wS2 be the set of all subsets…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, e, f, i}, B =…

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Q: Prove that if A, B.C are subsets of a universal set U, then AU(BnC) C (AUB)n(AUC)

A: use the basic property of subset and set theory.