sets X and Y

Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: What can you say about the sets A and B if we know that A (symmetric difference) B =A ? Prove your…

A: Given  A△B=A A∆B=(A∪B)-(A∩B)

Q: 3.5 Can two disjoint sets be close? Justify your answer using an example.

A:

Q: Using words, describe what numbers are contained in each set. List the elements. a. {x|- 1£ x£ 12,…

A: a) x is an integer and -1 less than x less than 12 the given set is…

Q: Use the set definitions A = {a,b} and B = {b,c} to express the elements of the power set P(A ∩ B)…

A: We Know that A Power set is set of all subsets, empty set and the original set itself.It is denoted…

Q: Give an example to show arbitrary union of open sets is again open. Is the result true for arbitrary…

A:

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

A:

Q: Which concept from set theory is analogous to the disjunction? Union Complement Intersection…

A: Given:     Concept of set theory which is analogs to disjunction.

Q: Write a description of the set : (5, 7, 9, 11, ..)

A:

Q: (b) Using set notation, write the relationship between sets A, B and C which represent the shaded…

A: (i) B-A (ii) (A∩B)∪(A∩C) (iii) A∪(B∩C)

Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

A:

Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: given a = {3, 5, 7, 9, 11} and b = {2, 3, 4, 5, 6, 7}, find the intersection of set a and set b.

A: Given:-   a =  3 , 5 , 7 , 9 , 11   b =  2 , 3 , 4 , 5 , 6 ,7

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

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: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: The boundary of a set is equal to the boundary of the complement) True or false

A: (The boundary of a set is equal to the boundary of the complement) True or false

Q: How do you identify sets

A: The objective is to write how to identify sets.

Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: b) By using the laws of set theory, show that [(A U B) n (An C)] u (B n C) = A U B.

A: Here we have to prove left hand side is equivalent to right hand side using laws of set theory

Q: Given sets A and B, how many constant maps are there from A into B.

A: Given: Set A and B are given the objective is to find the constant maps are there from A into B

Q: An operation * is defined on the set R by x * y = x +y+ 6 where x, y are elements of R. What is…

A:

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: Write a set that is equivalent but not equal to the set letters in the word major

A:

Q: Assume that the statement applies to all sets. Is it true or false? A – (BO C) = (A – B) (A – C) 2.

A: A-(B INTERSECTION) C= (A-B)INTERSECTION(A-C)

Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

A:

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: To prove:X∩Y'∪X∩Y~X The laws to be used are: A∪A∩B=A,A∩A∪B=A A∪B∩C=A∪B∩A∪C A∪A'=S A∩S=A

Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

A:

Q: Tell whether the following pair of sets is a subset, proper subset, equal set, equivalent set or a…

A:

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

A:

Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

A:

Q: Use the set definitions A = {a, b} and B = {b, c} to express the elements in the powerset P(A) ∩…

A:

Q: Tell whether the following pair of set is a subset, proper subset, equal set, equivalent set or a…

A: We can find the answer as below by definition.

Q: Write a verbal description of the set {3, 6, 9}

A: We have given a set   {3, 6, 9}. We have to write a verbal description of the given set.

Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: Consider the sets X and Y. Write the statement in symbols: The complement of the intersection of X…

A: Given,  X, Y are sets   Symbol for complement of the intersection of X and Y = (X ∩ Y)c

Q: Explain what is an equal and unequal set. Give relevant example along with.

A: Two sets are called to be equal sets when they contains same elements , although order doesn't…

Q: determine which of the following sets are equivalent to the set (x,y,z) a. (w,x,y,z) b. (1,5,17)…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: For any set A, p(A× B) = ɔ(A)× f(B)

A:

Q: Write a description of the set (6, 7, 8, 9)

A: Consider the given set as A=6, 7, 8, 9. Natural numbers set is a set with which you should be…

Q: Find AnB, the intersection of sets A and B. A={x: x is a natural number less than 4} B = {3, 4, 5,…

A: Intersection of sets: It is the set of all those elements of the sets A and B which belong to both…

Q: write a word description of the set {1,3,5,7,9} The set of _________ less than ________.

A: Set of natural numbers is infinite set which includes all the positive integers which starts from 1…

Q: The number of relations on the set A = {1, 2} is 256 . O True False

A: Number of relation with n elements 2n2

Q: Write {2, 4, 6, 8} in set-builder notation.

A: Solution

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”.