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} and C = {6,8,10} Find:

Q: elements

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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: Choose any that is a subset of the set S={10, Ø,{{ Ø}}} 0{0} {(Ø), 10) 0 {{0}}

A: Solution

Q: I Let A = {1,3,5,7}, B = {1,2,3}, C = (6,7} and suppose the Universal set is U = {1,2,3, ..,7}. List…

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Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: We have given  Let A, B, and C be subsets of a universal set U   n(U) = 150, n(A) = 27, n(B) = 29,…

Q: What is the cardinality of each of the following sets? 1.∅ 2.  {1,2,2,1} 3. {1,{1,2}} 4.…

A: Set is a well defined collection of distinct objects. For a finite set, the cardinality of a set is…

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

A: Using properties of set theory

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: 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: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: Given Universal Set = { a,b,c,d,e,f,g,h,i,j}; A = { a,b,c,e,g,h}; B = { b,c,e,f,h,i}; C = {…

A:

Q: 6. Given set A = {a, b, c) B = {p, q, r} C = {x, y, z, m, n, t}. What is universal set %3D for all…

A: A={a, b, c} , B={p, q, r} and C={x, y, z, m, n, t} To find the universal set for all the three sets.

Q: 9. Consider the following Universal Set: U= {1, 2, 3, 4, 5, 6, 7, 8} Define the following subsets of…

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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: 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: 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: 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,…

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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 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: If P = {1, 2}, form the set P × P × P.

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Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

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: 6. Let A, B be finite sets. Show that if JA\ B| = |B\ AJ, then |A| = |B|.

A: The order of a set defines the number of elements of the set. For two finite sets A and B,…

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: 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}…

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Q: Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 150, n(B) = 90, and n(A ∩…

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Q: 1- Let S = { ∅, a, {a} }. Determine whether each of these is an element of S, subset of S, neither,…

A: We are solving the first question and for the next question post the question again and also mention…

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: 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: 5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| =…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., I, ]}. Let A = {a, d, g, h), B =…

A: Introduction: The set (B ∪ C) contains all the elements that are either in set B, or C, or in both,…

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…

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Q: Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of thefollowing may be…

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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: 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: Construct a Venn diagram illustrating the given sets. A = {4,5,6,7,8,9} B = {3,4,5,6,10} C =…

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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: 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 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: 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: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

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 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 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: 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 A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

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

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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:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.