2. Specify the set B in set-builder form by giving a written description of its elements, where B={0,1,4,9,16,25}. *

Q: Let ? = {1, 2} and ? = {1, 2, 3}. List all the elements in the set (? × ?) ∩ (? × ?)

A: A = {1,2} and, B = {1,2,3} So, A×B = {(1,1,), (1,2), (1,3), (2,1), (2,2), (2,3)} &, B×A =…

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

A:

Q: Prove or disprove: For all sets A and B, An(AUB)

A: We have to prove or disprove , for all sets A and B A∩(A∪B)=A.

Q: Draw a Venn diagram where U is set of all AKC purebred dogs, H={x/x is a herding dog} and B={collie,…

A: Given: U is the set of AKC purebred dogs. H = {x|x is a herding dog} B={collie, sheltie, Border…

Q: Let set A be the set of face cards and B be the set of all spades in a regular deck of cards. State…

A: There are 12 face cards in a regular deck of cards and 13 spades in a regular deck of cards. Set A:…

Q: 2. Is there a set A that satisfies A = {A}? If yes, exhibit one such. If not, Why not exactly?

A: No, there is no set A that satisfies A={A}. Let A is an empty set, i.e.  A=  or  A=ϕ, in which…

Q: 2. Use the set builder notation to give a description of each of the following sets: 1 2 3 4 5 2'3'…

A: Given

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

A: To determine the correct representation of A=2, 4, 8, 16, 32, ... in set builder notation.

Q: Translate the set {a, b, c, d, ..., z} to set builder notation form.

A: Given   set {a,b,c,d,...…z}

Q: Let S be the universal set, where: S = {1, 2, 3, .., 23, 24, 25} >....

A: Given…

Q: Let N = {m,y}}. List all the subsets of N. Let A = {j,g}. Is empty set a subset of A? Consider these…

A: Consider the given set  N=m , y Now, the subsets of the set N are,  , m , y , m , y Hence, there are…

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: Draw a Venn diagram to show the set  An(B U C')

A: Furst find B U C' then An(B U C').

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: Write the given sets in set builder from  a. {1,2,3,6,9,18} ?!

A:

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: b. Define the finite and infinite sets in your own words and give example for each set.

A: We use the definition of finite and infinite set to answer the given question.

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

A:

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: Let A be a finit set and let |p(A)|=n. Let B = A U {x} for some x∉B, How many subsets does B have…

A: Let A be a finite set with m elements Then number of elements in p(A) has 2melements Given p(A) =…

Q: 19. If A={People who live in Colorado} B={People who live in Denver}, draw a Venn diagram relating…

A:

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

A:

Q: Let the Universal Set, S, have 78 elements. A and Bare subsets of S. Set A contains 44 elements and…

A: Given data: The numbers of elements in the universal set are n(S)=78. The numbers of elements in the…

Q: Denote the set in set-builder form {6, 12, 18, ….66}

A: The objective is to denote the set {6, 12, 18, ….66} in set-builder form.

Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

A:

Q: 20. What is the cardinality of each of these sets? а) и c) {Ø, {Ø}} b) {Ø} d) {Ø, {Ø}, {Ø, {Ø}}}

A:

Q: It is the selection of objects from a set.

A: This is the problem of combinatorial. finite math, counting.

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

A:

Q: . Write the following set in set builder notation: R [2, 7)

A:

Q: 5. Show that a finite set is a closed set.

A:

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} 2) (2, 3, 5, 7, 11}…

A: # we are entitled to solve 3 subparts. please resubmit the other parts if you wish to get it…

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

A:

Q: specify the set by roster distinct letters in the word (mathematics)

A: Given that

Q: 6. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: 4.3 Give an example to show that the arbitrary intersection of open sets is not an open set.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Express the following set in set-builder notation. B=(13, 14, 15, 16, 17, 18, 19, 20)

A:

Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} = %3D 2) {2, 3, 5,…

A: Set builder notation consists of { Type of element | Rule defined} Hence 1) {2,4,6,8,10} {x | 2≤x≤10…

Q: 2. Draw a Venn diagram for the set AU(BnC).

A: We first draw U, A, B, C

Q: Let U = {6, 7, 8, 9, 10, 11, 12}, and A = {6, 7, 8, 9}. List all the members of the given set.  Ā

A: The Universal set U is defined as U = {6, 7, 8, 9, 10, 11, 12}.

Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

A:

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

A: Here use definition of complement of set

Q: Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b) {–3,…

A: A set builder form describes the elements of the given set which may have a common aspect/equation

Q: Express the following set in set builder notation.  B={15,16,17,18,19,20,21,22}

A:

Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…