Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14, 16},  and  C = {7, 8, 10, 11, 14, 15}.  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, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

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

A: Given that, S = {Brinsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

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: Given nine sets {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

A: given : {5,15,16,18}, {2,19,21},{1,9,14,16},{1,6,20}, {3,16,21},{5,14,20,21},…

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 = { 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: 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: 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: VI. Use the set-builder notation to describe each of the following: 16.(4, 8, 12, 16, 20, ...}…

A: Here we have to use the set-builder notation to describe each of the following:  16)…

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

A:

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: Find A ∩ B. (Enter your answer in roster notation. Enter EMPTY or ∅ for the empty set.) A = {b, c,…

A:

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: 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…

A: According to the given information, it is required to list the elements of each set.

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

A:

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

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…

A:

Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable 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: 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: 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: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x < 6} in roster form. Note: N=set of natural numbers

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

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: 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: 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: 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: Write each of the following sets in correct roster notation: (a) {x^2 - 1 : x∈{0,1,2,3,4}} (b)…

A: The answers are given below

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: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

A:

Q: Let  A1 = {1,2,3,4,5}, A2 = {6,7,8,9,10,11,12} and A3 = {13,14,15,16,17,18,19}.  How many non-empty…

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: 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 A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

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

A:

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”.