Let  U = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12},   A = {3, 5, 7, 9, 11},  B = {4, 6, 8, 10, 12}, and  C = {3, 4, 6, 7, 10, 11}.  List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)   (a)    (A ∩ B) ∪ C       (b)    (A ∪ B ∪ C)c       (c)    (A ∩ B ∩ C)c

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

A: A U B is the set of all elements of A and B without any element repetition .

Q: An ice cream shop provides the following types of add-ons: hot fudge, caramel, cherry, Reddi-whip,…

A: Consider the  add-ons ice-cream shop provides: Hot fudge,caramel,cherry,redid-whip,chopped…

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 the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: Let U = {-5, –4, –3, -2, -1,0, 1, 2, 3, 4, 5} be the universal set, and let A = {-5, -4, -3, -2,…

A: Note:- In given problem, notation used for sets are different in information and problem (sub…

Q: Let U={-5,-4,-3,-2,-1,0,1,2,3,4,5}, A={0,1,2,3,4,5} and B={-4,-2,0,2,4}. Perform the indicated set…

A: The given sets are U=-5,-4,-3,-2,-1,0,1,2,3,4,5,A=0,1,2,3,4,5,B=-4,-2,0,2,4.

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

A:

Q: How may elements are in the set [-2, 2] \N?

A:

Q: Example A o B are ndep, How about their subsets.

A: Two events are independent if the occurrence of one does not effect the probability of other.…

Q: Which of the following is the correct representation of A = (2,4,8,16,32,. } in set builder…

A: A detailed solution is given below

Q: Let U = { 1, 2, 3, .. ., 16}, C = {1, 3, 5, . . . , 15 }. Use the roster method to write the set C'.

A: We have to find

Q: Let A = {small, medium, large}, B = {yellow, magenta}, and C = {triangle, square}. List the elements…

A: The elements in A is {small, medium, large}.

Q: Let A={1,2,3,4,5,6}.A={1,2,3,4,5,6}. Find all sets B∈P(A)B∈P(A) which have the property {2,3,5}⊆B.

A: The provided data is,

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: Consider selecting two elements, a and b, from the set A = {a, b, c, d, e}. List all possible…

A: All possible subsets having 2 elements of given set A ={a,b,c,d,e}  Are given below

Q: Let S = {Aylesbury, Arsenal, Southend, Sheppey United, West Ham United, Maroka Swallows, Bidvest…

A: Given S = {Aylesbury, Arsenal, Southend, Sheppey United, West Ham United, Maroka Swallows, Bidvest…

Q: Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {5, 7, 9, 11, 13}, B = {6, 8, 10, 12, 14}, and C…

A:

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

A: U=1,2,3,4,5,6,7,8,9,10A=1,3,5,7,9B=2,4,6,8,10C=1,2,4,5,8,9

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

A: given sets are A =2,4,6 B = {2,6} C = {6,8} D = {4,6,8}

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; where n is total number of distinct…

A:

Q: 8. Let A = {0,2, 4, 6}, B = {3,4,5, 6},C = {0, 1, 2} and U = {0,1,...,9, 10}. Write the given sets…

A: Solution

Q: Let A = {small, medium, large}, B = {red, magenta}, and C = {triangle, square}. List the elements of…

A: Solution: The objective is to list the all elements in BxC

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

A:

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

A: We are given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1,…

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

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

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: How many subsets does the set  F = {3, 4, 5, 6, 7} have?

A: No. of subsets in a set: The number of subsets in a set containing n elements is given by 2n. No. of…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {1, 2, 4, 5}, C = {1, 5} Find each of the…

A:

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…

A:

Q: Let U = {0,1,2,3,4,5,6,7}, A = {3,4,5}, B = {0,3,4,7}, C = {6,7}, find the following sets using the…

A:

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

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, C = {1, 2, 4,…

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

A:

Q: Let U = 51, 2, 3, 4, 5, 6, 76, A = 51, 3, 5, 76, and B = 53, 4, 66. Find each set. U^{\prime}

A: Given sets - U = 51, 2, 3, 4, 5, 6, 76A = 51, 3, 5, 76B = 53, 4, 66We need to find the prime or…

Q: Let A = (5.8,9.17 19), B = (5,8,13 19}. C = {8,13,19), D= {5,13}, E = (9), and U = {5,8,9,…

A:

Q: If A and B are two sets, and A x B consists of 6 elements: If three elements of A x B are (2, 5),…

A: Given A cross B = (2,5),(3,7),(4,7)

Q: Let S = {1, 2, 3, … , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: 3. [8] Let A = {a, b, c} and B = {u, v}. Use the set-roster notation to write the elements in the…

A:

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: 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: 2. Use set builder notation to describe the following set i) A={2,4,6,8,10} A=(3,6,9,12,15,18} ii)…

A:

Q: Let A = {1,2, 3, 7, 8}, B = {1,2, 3, 5, 7}, C = {1,4, 6, 7, 8}, D= {2,3, 4, 5, 7}. Find the…

A:

Q: Use the set builder notation in describing the given set. 7. {5, 10, 15} 8. {1, 4, 9, 16, 25, 36,…

A: 7. Given set: S1=5, 10, 15  ……1

Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

A:

Q: se the roster method to write the set A'.

A: Here use definition of complement of set

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

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

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A:

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: B = {4, 6, 8, 10, 12},  and  C = {3, 4, 6, 7, 10, 11}.  List the elements of each set. (Enter your…

A: We have to find element

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”.