Let U ={1,2,3,....,18,19,20} be the universal set. Let sets A, B, C be subsets of U, where: Set A = {1,5,6,8,12,15,17} Set B = {4,5,7,8,11,12,13,19,20} Set C = {3,4,5,6,7,8,11,12,14,15,17} Determine the following: 1. n(A)= 2. n(B)=        (B has top hash) 3. n(A intersection B)= 4. n(B Intersection C)= 5. n(A union C)=

Q: U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all…

A:

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

A: We have to find A∩B∩C  and A∪B∪C

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

A: Given that               U={1,2,3,4,5,6,7,8,9} Let sets A, B, and C be subsets of U, where:…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9} Let sets AA, BB, and…

A: We have: U=1, 2, 3, 4, 5, 6, 7, 8, 9A=2, 5, 6, 9B=5, 6, 7, 8 ,9C=1, 2, 7, 8, 9

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

A: Given:- S={1,2,3,...,28,29,30} A={1,2,9,10,12,19,23,26,29} B={5,6,19,21,22,23,24,30}…

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

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

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

A: On solving this we will get

Q: Let U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. List all the…

A: Given, U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. (A ∪ B) ∩ C…

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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Q: Let U={1,2,3,4,5,6,7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10}. Then P(B-A) *…

A: A=1, 2, 3, 4, 5, 6  &  B=1, 3, 5, 8, 10 Now, B-A=1, 3, 5, 8, 10-1, 2, 3, 4, 5, 6=8, 10

Q: Let the universal set U = {a , b, c, d, e, f,g, h}, A = {a , b , c, d, e}, B = {a , e, h}, and C =…

A: The set B' contains the elements which does not belong to the set B but belongs to the set U. The…

Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given universal set is, S={1,2,3,...,18,19,20} and the sets A&B are, A={1,4,6,11,12,14,18,19,20}…

Q: Let S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A:

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

A: Given  Set A = {1,5,6,8,12,15,17} Set B = {4,5,7,8,11,12,13,19,20}Set C =…

Q: Find the number of elements in the set (A∪B∪C)(A∪B∪C) n(A∪B∪C)n(A∪B∪C) =  Find the number of…

A: The given sets are as follows. A=1, 2, 4, 8, 12, 17, 19B=1, 3, 8, 10, 11, 13, 16, 19, 20C=1, 3, 5,…

Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given S is the universal set, where S={1,2,3,...,18,19,20}, A={3,9,11,13,14,17,19,20},…

Q: et UU be the universal set, where: U={a,b,c,d,e,f,g,h,i,j,k}U={a,b,c,d,e,f,g,h,i,j,k} Let sets AA,…

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Q: Given that U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}, list…

A: Given, U=1,2,3,4,5,6,7  A=1,2,3,4  B=1,2,5,6 C=3,5,7  We have list all of the members of the set ( A…

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,...,28,29,30}S={1,2,3,...,28,29,30} Let sets A and B be…

A:

Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets AA and BB…

A: Given a universal set : S={1,2,3,...,28,29,30} Given subsets A and B of S :…

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:

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

A: To find AU(B intersection C) (ii) (AUB) intersection (AUC)

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

A: Given Information: Set A = 3,5,11,13,17,19,20,21,24,25 Set B = 1,3,4,5,8,13,15,16,17,19,20,22 To…

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given, Universal set S=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 Two subsets A and B are…

Q: Suppose your universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and we have the following subsets…

A: Given, U={1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={2,3,4,5}C={4,5,8,9}To find:(A∪B')∩C

Q: Let U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14} be the universal set. Let A = {2,3,4,5,6,7,8,9,10}. II.…

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

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Q: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. List all the…

A: Given, U=4,5,6,7,8,9,10  A=4,5,6,7 B=4,5,8,9 C=6,8,10  We have to find all the members of set…

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

A:

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: S={1,2,3,...,18,19,20} A={2,5,6,8,9,14,16,20} B={2,4,5,6,7,8,14,16,18,19}

Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} Let…

A: Recall: Intersection of the sets:  Let A and B be two sets then the intersection of the set is a set…

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 S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A:

Q: Let U = {1, 2, 3, 4, 5} be the universal set. Let A = {1, 2, 3}, B = {1, 3, 5}, and C = {2, 4, 5}.…

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Let C = {1, 2, 4, 5, 7, 8, 10} and let…

A: C'=U - C

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given that the universal set S=1, 2, 3,..., 18, 19, 20. Consider the subsets A=1, 2, 9, 11, 13, 14,…

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

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Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given,         let S be the universal set, where:         S=1,2,3,...,18,19,20         Set…

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

A: Given set A={2,4,5,10,13,17,19} and B={1,4,6,8,9,10,13,14,15,16,17} Now  n(A)=the number of elements…

Q: Let U  be the universal set,where: U= {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} Let sets A,B, and C…

A: U=1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15A=1, 4, 7, 8, 9, 11, 15B=2, 7, 9, 10, 13C=2, 6,…

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 U={q,r,s,t,u,v,w,x,y,z}A={q,s,u,w,y}B={q,s,y,z}C={v,w,x,yz}. List the elements in the set.A'uB

A: Given , U = { q, r, s, t, u, v, w, x, y, z }A = { q, s, u, w, y }B = { q, s, y, z }C = { v, w, x, y,…

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

A: From the sets

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

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Q: Let U = {1,4,5,8,9,10,13,15,16}, X = {4,8,10,15}, Y = {4,5,8,9,10}, and Z = {1,4,5,15,16}. List the…

A: Given:     U=1,4,5,8,9,10,13,15,16    X=4,8,10,15    Y=4,5,8,9,10  Z=1,4,5,15,16 Find:…

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

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Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets AA and BB…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.