Let U =  {2, 3, 4, 5, 6, 7, 8, 9},   A =  {3, 5, 7},   B =  {2, 3, 6, 9},  and C =  {2, 4, 8}.  Find the following. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ (B ∩ C') {__________ }

Q: 4. 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},…

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Q: If A = {(1,1), (3,0.4), (4,0.2), (5,0.8)} and B = {(2,0.2), (3,0.2), (4,0.5)} are the fuzzy sets…

A: This question is related to fuzzy sets.

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: The sets are given as, U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7,…

Q: Let U = {5, 6, 7, 8, 9, 10, 11}, A = {5, 6, 7, 8}, B = {5, 6, 9, 10}, and C = {7, 9, 11}. List all…

A: Given, U={5,6,7,8,9,10,11} A={5,6,7,8} B={5,6,9,10} C={7,9,11} Ac U (B∩C)=?

Q: If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following. (Enter your answers as a…

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Q: A = {2, 4, 6, 8} B = {2, 4, 6, 10, 14} Which elements are in set A and are also in set B? (Enter…

A: We will list all the elements of set A and set B to answer these

Q: Let U = {6, 7, 8, 9, 10, 11, 12}, A = {6, 7, 8, 9}, B = {6, 7, 10, 11}, and C = {8, 10, 12}. List…

A: From the given information,  U = {6, 7, 8, 9, 10, 11, 12},  A = {6, 7, 8, 9},  B = {6, 7, 10, 11} C…

Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: Let A, B and C be 3 languages over the same alphabet: AtLeast2(A.B.C) = {w|w is in at least 2 of the…

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Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

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Q: Let A={1,5,6,8,10} and R={(1,1), (5,5), (8,8), (10,10),

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Q: Let A = { c, d, f, g} B= {f, j} C = {d, g} True or False: B is a proper subset of B? True O False

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Q: 5. Give an example of a collection (A,, of sets with the properties that: (a) A, # Ø for each i> 1,…

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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, where:…

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

Q: A={1,2,6,10}A={1,2,6,10}, and B={2,4,6,7,9,10}B={2,4,6,7,9,10}. Given a set SS, ScSc denotes the…

A: To aolve the following problem on set

Q: Let  U = {1, 2, 3, 4, 5, 6, 7},   B = {2, 3, 5, 6},  and  C = {4, 5, 7}.  List all the members of…

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Q: 2. Using the set-roster notation. а. Let A = {1,2,3}, B = {3,1,2}, and C = {1,1,2,3,3,3,3}. What are…

A: 2. (a) Given that A=1,2,3,B=3,1,2,C=1,1,2,3,3,3,3 Now, set A,B,C have exactly 3 element 1,2,3. Set…

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: 7- Consider the universal set U = {1, 2, 3, ..., 8, 9} and sets A = {1, 2, 5, 6}, B = {2, 5, 7}, C=…

A: A∩B represents common elements in A and B. Given that A=1,2,5,6 and B=2,5,7 A∩B=2,5

Q: Let the universe of discourse be U = {1,2,3,4,5,6,7,8,9,10). And let A = {1,3,7), B = {2,4,5,7}, and…

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Q: 2. Let A = {1, 2, 3, 4, 5, 6} and B= {2, 4, 6, 8}. What is the cardinality of B? A U B, A N B?

A: Given that  A={1, 2,3,4,5,6} and B={2, 4,6,8}

Q: We have a deck of cards. In this deck we have cards of the four different suits (clubs, diamonds,…

A: Sample space gives all the possible outcomes of an experiment. For example, tossing a coin is an…

Q: Let A={0,3,4,9,11}A={0,3,4,9,11} ,   B={0,4,9,10}B={0,4,9,10} ,   C={1,3,6,8,9,10} List the…

A: It is given that, A={0,3,4,9,11},  B={0,4,9,10}, C={1,3,6,8,9,10}. Obtain the A∩B as follows.…

Q: Let U = {8, 9, 10, 11, 12, 13, 14}, A = {8, 9, 10, 11}, B = {8, 9, 12, 13}, and C = {10, 12, 14}.…

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Q: Let U = {5, 6, 7, 8, 9, 10, 11}, A = {5, 6, 7, 8}, B = {5, 6, 9, 10}, and C = {7, 9, 11}. List all…

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Q: that the set O of all odd counting numbers, O = {1, 3, 5, 7, . . .}, and N = {1, 2, 3, 4, . . .} are…

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

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Q: Let U = {9, 10, 11, 12, 13, 14, 15}, A = {9, 10, 11, 12}, B = {9, 10, 13, 14}, and C = {11, 13, 15}.…

A: We have to list all the members of the given set A ∪ (B ∩ C).

Q: Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are…

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Q: Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are…

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Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your…

A: First we find the roster form of the set: The set of odd natural numbers less than 10 = { 1,3,5,7,9}…

Q: Q1) Consider the universal set U = {1,2, 3, 4, 5, 6, 7,8, 9} and sets A = (1,2,5, 6}, = {2,5, 7},C =…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}, A={3,5,8,9,10}A={3,5,8,9,10}, and…

A: A = {3,5,8,9,10} Ac = {1,2,4,6,7} B = {3,4,5,6,8,9} Bc = {1,2,7,10}

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} and C = {6, 8, 10} Find (A ∪…

Q: hich of the following groups are not mutually exclusive? Group of answer choices 20 year old people…

A: Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Q: Let A={0,1,4,8,10}A={0,1,4,8,10} ,   B={1,4,5,10}B={1,4,5,10}. Find the following sets in list form.…

A: GIVEN: A={ 0 , 1 , 4 , 8 , 10} , B= { 1,4,5,10} To find: A∩B , A∪B

Q: (a)Calculate A ⊕ B ⊕ C for A = {1, 2, 3, 5}, B = {1, 2, 4, 6}, C = {1, 3, 4, 7}.Note that the…

A: It is given A = {1, 2, 3, 5}, B = {1, 2, 4, 6} and C = {1, 3, 4, 7}.

Q: an If aj = 1 and an+1 for n > 1, determine a1, a2, a3, and a4 . n + 5 а1,а2, аз, а4 — (Enter your…

A: To find the value of the variables put the values as n = 1,2,3,4 and put the value of n in the…

Q: whether it is transitive. a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} b) {(1, 1), (1, 2),…

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Q: Let U = {6, 7, 8, 9, 10, 11, 12}, A = {6, 7, 8, 9}, B = {6, 7, 10, 11}, and C = {8, 10, 12}.…

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Q: O= {-32, -8, -2, -1, 1, 4, 16, 64) N= {1.2.4.8} u- -32, -8, -2, -j, 1, 2, 1002, 8, 1004, 10003, 64)…

A: Here, We are answering first four part of the question,We have given set is as follows:

Q: ”A is a subset of B. Therefore A is a subset of P(B).” This statement is incorrect as written.…

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Q: 5. Let U=( 1,2,3,4,5,6,7,8,9,10), A=(1,3,5,9,), B=(2,5,6,9,10). Find the sets: 1. A' 2. B' 3. ANB 4.…

A: Definition of Intersection of Sets: Intersection of two given sets is the largest set which contains…

Q: Let A = {1, 3, 5, 7}, B= (5, 6, 7, 8), C= {5, 8}, D= (2, 5, 8}, and U=(1, 2, 3, 4, 5, 6, 7, 8}.…

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Q: Suppose that UU (the universal set), AA and BB are sets, given as shown below.…

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Q: Let U = {9, 10, 11, 12, 13, 14, 15}, and A = {9, 10, 11, 12}. List all the members of the given set.…

A: GivenU = {9, 10, 11, 12, 13, 14, 15}, A = {9, 10, 11, 12}.

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, and B = {1, 2, 5, 6}. List all the members of the…

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Q: 2. Using the set-roster notation. a. Let A = {1,2,3}, B = {3,1,2}, and C = {1,1,2,3,3,3,3}. What are…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at 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”.