Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} , and C = {1, 3, 4, 6} to find each set. A ∪ B

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Definition used-               If  U is a universal set and A is a set inside it the complement of…

Q: 7. Rewrite the set A = {..., –27,–17, –7,3, 13, 23, 33, ...} using set builder notation. %3|

A:

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

A: We have to find A∩B∩C  and A∪B∪C

Q: S be the universal set, where: = {1,2, 3, ..., 18, 19, 20} sets A and B be subsets of S, where: ||…

A: Given, Let S be the universal set,  S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} Set…

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 7, 8, 9 } and Set B - { 0, 3, 5, 6,…

A: This can be done as follows:Given:

Q: Express the following set in set-builder notation. B= {14, 15, 16, 17, 18, 19, 20, 21} Choose the…

A:

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: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: 5. Write the following sets using set -builder form: А - (5, 9, 13, 17) b. В-(1/65, 1/50, 1/37,…

A: 5. a. Consider the set A=5,9,13,17. The elements of the above set are obtained as follows. The 1st…

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

A:

Q: Write the set A = {1, 4, 9, 16, 25, . . . }in set-builder form.

A: Given:

Q: Roster form: G = {3, 6, 9, 12, 15, 18, 21, …} What is  the Set Builder form?

A: There are 2 ways of representing a set.  Roster form Set Builder form In roster form , all the…

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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: If U be the universal set and A, B, C be subset of U Then  The Union (or join) of the subsets A and…

Q: Given A = {2, 3, 4 , 5} and B = {4 , 16 , 23}, a ∈ A, b ∈ B, find the set of ordered pairs such that…

A: Here given that                           A={2, 3, 4, 5}                            B={4, 16, 23} We…

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

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 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: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(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: determine whether set s={(2,1),(-1,2)} spans R^2

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: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {1, 2, 3, 4, 5} n {3, 4,…

A: We have to find correct answer..

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 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 C=6,8,10  We have to find all the members of set…

Q: Let X= {p, q, r, 15, 16, 17}, Y ={q, s, t, 15, 17, 19}, and Z= {q, s, 16, 17, 19}. List the members…

A: let X={p,q,r,15,16,17}   Y={q,s,t,15,17,19} Z={q,s,16,17,19} find member of X∪(Y∩Z)=?D

Q: Find the intersection of the sets. {r, e, a, l}∩{l, e, a, r}

A: Given:A=r,e,a,lB= l,e,a,rIntersection set:The set containing all elements of A that also belong to…

Q: For the universal set U {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y,…

A: Solution:     U – { a, b, c, d, e, f, g, h, i ,j ,k ,l ,m ,n ,o ,p ,q ,r ,s ,t ,u ,v ,w ,x , y, z }…

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: Write the following set in set builder​ notation, where U={1,2,3, . . . ,20}.

A:

Q: Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and…

A: We have find answer.

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Use the roster method to…

A: Complement of a set: It includes all those elements of universal set which are not in that…

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Use the roster method to…

A: Given: To find the complement of the given set: {2, 3, 5, 7}

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

A: Set A and Set B is the collection of those elements which belongs to both set A and set B (ie,…

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

A: Given set A={2,4,5,10,13,17,19} and B={1,4,6,8,9,10,13,14,15,16,17} Now  n(A)=the number of elements…

Q: If A = { 1 , 2 , 3 , 4 , 5 } and B = { 4 , 5 , 6 , 7 , 8 }, find the following. The universal set…

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

Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Write the following set in set builder notation where U ={1,2,3...20}. {9,10,11,12}

A: Given U={1,2,3...20} and {9,10,11,12} We have to write it in set builder notation.

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}…

Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

A:

Q: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. _______ {3, 8, 9}

A: The given set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. We have to find the complement of {3,8,9}.

Q: 0), (1, 0, 0). (3, 2, adependent set

A:

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

A:

Q: Write the following in set-builder notation H={2,4,6,8} I={1,3,5,....} J={1,2,3,4,6,12}…

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”.