1. Suppose U =N = {1,2,3,.. } is the universal set. Let, A = {1,2,3,4}}, B = { 3,4,5,6,7}, c={2,3,8,9 }, E = {2,4,6, .} а. А b. A OE

Q: Let S be a set with |S|=6 . In how many ways can we partition the set S into three non-empty parts?

A: Answer:   3   Here    |S| = 6 So there are total 11 possible partitions which are 6 5+1 4+2 3+3…

Q: 21. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and T = {1, 3, 5, 7, 9}. %3D…

A: Given universal set is U=0,1,2,3,4,5,6,7,8,9,10 and T=1,3,5,7,9. We have to find T'. Complement of a…

Q: Consider the following sets U= {1,2,3.4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A-B' ? * O…

A: Given:- Consider the following sets  U= {1,2,3,4,5,6,7,8} A = {2,4,6} B= {1,2,4,6} To find:- A-B'

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

A: GivenU={1,2,3,4,5,6,7,8,9}A={2,3,5,7}B={2,4,6,7}To find A∩B , A∪B , A' and B'

Q: For the universal set U=(0, 1, 2, 3, 4, 5, 6, 7} and the sets A={1,5}, B=[1, 2, 3, 4} and C=(4, 6),…

A:

Q: Let U = {4, 5, 6, 7, 8, 9, 10}, and A = {4, 5, 6, 7}. List all the members of the given set.  Ā

A: Given , U = {4, 5, 6, 7, 8, 9, 10} A = {4, 5, 6, 7} Ā =?

Q: Given the universal set U = {0, 1, 2, 3, 4, 5, 6} and sets A = {0, 2, 4, 6 }, B = {1, 3, 5}, C = {4,…

A: U=0, 1, 2, 3, 4, 5, 6, A=0, 2, 4, 6, B=1, 3, 5 & C=4, 3, 2, 1. a). A∩C=0, 2, 4, 6∩4, 3, 2, 1=2,…

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 data,S={1,2,3,...,28,29,30}A={1,16,19,21,22,24,26}B={4,5,25,28}C={9,13,14,18,19,20}

Q: 1. Let the universal set be the set S= {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: a)  b)  c) d) e)

Q: Given that U={1,2,3,...,18,19,20} A={1,3,4,5,8,10,11,12,15,16,17,18,19,20}…

A:

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: Given that U={1,2,3,...,18,19,20} A={1,2,3,4,6,7,10,13,14,17,18,20} B={4,5,7,9,12,13,15}…

A: Given,  U=1,2,3,...,18,19,20  A=1,2,3,4,6,7,10,13,14,17,18,20 B=4,5,7,9,12,13,15…

Q: Given the universal set U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and sets A = {0, 2, 4, 6, 8}, B = {1, 3, 5,…

A:

Q: 2. Given the following sets, where U is the universal set, and A, B and C are three sets in the…

A:

Q: 1. Let the universal set be the set S = {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: Given

Q: QUESTION 3 Let S = {Siyanda, Ayanda, Sunil, Mohamed}, T = {Sunil, Mohamed, Tebogo}, {Mohamed,…

A:

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

A: Solve the given problem.

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

A:

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

A:

Q: Given the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9) and the sets A = {2, 4, 6, 8} and B = {1, 3,…

A: Answer - Given the universal set   U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 } ,                 and the sets…

Q: Given that U={1,2,3,...,18,19,20} A={1,5,6,7,8,10,12,13,14,16,17,18,19}…

A:

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

A:

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: 1.         Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U =…

A: From the given information, the given sets are:

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

A: We have to find given sample space.

Q: Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these sets…

A: Given sets are  A = {2, 4, 6}, B = {2, 6},  C = {4, 6}, and D = {4, 6, 8}.  Definition of subset is…

Q: 7. Let the universal set be U = {a,b,c,d,e, f} and let A={a,c,e} and B={a,b,c} Find: a. AUB b. ANB…

A:

Q: Let the Universal set be U = (1, 2. . 20)., A= (1,6.11,19) and B = (6, 11, 14, 7) fa-8) (1) = '(A@…

A: Since you have posted multiple questions. I am answering the first one. Please post the question for…

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

A:

Q: 1. Let the universal set be the set S = {0,2,4,6,8,10,12,14,16} and let A = {2,4,6,8}, B = {0,2,4,6}…

A: B x C is the Cartesian product of the sets B and C which contains (b,c) where b is the element of…

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: Ans - Given, the Universal set           S = {1, 2, 3, ..., 18, 19, 20}    and   Set  A = {1, 3, 9,…

Q: 1. Let the universal set be the set S = {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A:

Q: Given that U = { 1, 2, 3, 4, 5 } and A = { 1, 2, 3 }, find the complement of set A. O { 1,2, 3} O…

A: We have to find complement of A

Q: 1. If A = {1,2,3, 4}, B = {3,4, 5, } are the subsets of a universal set U = {1,2,3, 4, 5, 6}, find…

A: Given that  A={1,2,3,4} and B={3,4,5} are the subsets of the universal set U={1,2,3,4,5,6}.

Q: Given that U={1,2,3,...,18,19,20} A={1,3,4,5,8,10,11,12,15,16,17,18,19,20}…

A: Given…

Q: Construct a Venn Diagram illustrating the given sets. A = {4,5,6,8}. B= {!,2,4,5, 6,7}, C={3,4,73…

A:

Q: Let U = {1, 2, 3, 5, 6, 7, 9}, A = {1, 5, 7}, and B = {1, 2, 3}. What is the set (An B)°? O {2, 3,…

A: Sets and relations

Q: 6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose U = {{a, b), a, c, d, {a, d), e) is a universal set with the following subsets: A = {(a, b),…

A:

Q: Consider the universal set U: {1, 3, 7, 8, 15, 16, 17, 20} Set A: {3, 8, 16, 20} Set B: {1, 15,…

A: We have given that,  Set A: {3, 8, 16, 20} Set B: {1, 15, 17, 20} Then,  We will find  Find AC ∩ B=…

Q: Consider the following sets U= {1,2,3.-4,5,6.7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is (B' UA)' ?…

A:

Q: Let U = {6, 7, 8, 9, 10, 11, 12}, and A = {6, 7, 8, 9}. List all the members of the given set.  Ā

A: The Universal set U is defined as U = {6, 7, 8, 9, 10, 11, 12}.

Q: Choose any that is a subset of the set S=(10, Ø,{Ø}}} O(Ø) a {(Ø), 10)

A:

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: S={1,2,3,...,25} n(S)=25 A={4,5,12,13,14,17,18,22} n(A)=8 B={1,2,4,6,9,10,15,20,21,22,24}…

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:

Q: Consider sets A={1, 3, 5} and B={2, 4, 6}. Find An B. {} {0} O {A, B} O {1, 2, 3, 4, 5, 6}

A: We have A = {1, 3, 5} and B = {2, 4, 6}.

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”.