2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there from A to B? Option 1: 7 Option 2: 12 Option 3: 64 Option 4: 32 Option 5: 64^2

Q: The set having elements of the complement of the set A will be,

A: We need to find out complement of A.

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

A:

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: If AnB is pathwise connected set.  then A and B are:  a. Pathwise connected sets b. Not pathwise…

A: Pathwise connected means any two points in that set can be join by a continuous function. Roughly…

Q: The set of elements common to both set A and set B is called ----------------- the of sets A and B,…

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

Q: What is meant by Intersection of sets?

A: Let A and B be the two sets. Then the set of all common elements of A and B is called the…

Q: If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements andY has 15 elements ; how…

A:

Q: Let A= {1,2,3,4,5,6} and B={2,4,6,8}. what is the cardinality of A ∩ b?

A: Cardinality of a intersection

Q: Show that each pair of sets is equivalent by using a one to one correspondence. {1,2,3,4,. . . .} is…

A:

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

A:

Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

A:

Q: why Ua equals to empty set

A:

Q: Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A: First, we need to know definition  of the Cartesian Product of a set is with itself. The Cartesian…

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

A: We fill the blank space as,

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

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

A: Given sets are  A = {2, 4, 6}, B = {2, 6},  C = {4, 6}, and D = {4, 6, 8}.  Definition of subset is…

Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

A:

Q: how that if |A| = |B| and |B| = |C| then |A| = |C|. The sets A, B, and C may be infinite, so ou must…

A:

Q: ) Suppose X = {1,2, 3} and Y = {5,6). The number of elements of the set P(X × Y) = %3D

A: Number of Elements in Power Set P(A) of set A with n elements is 2n

Q: Show that the following pair of sets have the same cardinality. A = (5, 9] and B = (1, 2) ∪[4, 7]

A: Two sets A and B have the same cardinality provided there is a bijection from A to B.

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

A:

Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: 2. If set A contains {1}, and set B contains {2} then AUB= (1 Point)

A: Set is the measure of the collection of well known information. Let A and B be the two sets, then…

Q: How to Apply the Archimedes'principle to prove that a set is empty

A: Consider the given information. the Archimedes' principle is defined as, Property states that for…

Q: What is the complement of the set X? How is it denoted?

A: Universal set is always given to find complement of a set. Complement of a set 'X': It includes…

Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

A:

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

A:

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

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

A:

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

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: Let A and B be infinite sets that are countable. Do A and B necessarily have the same cardinality as…

A: Given question is Let A and B be infinite sets that are countable. Do A and B necessarily have the…

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: The given sets are: A={-2,2,3,5} and B={2,3}

Q: What will be the cartesian product of three sets if one set of them is empty?

A: The answer is given as follows:

Q: The defining property of an ordered pair is that two or- dered pairs are equal if and only if their…

A: Firstly suppose that a,b=c,d i.e a,a,b=c,c,d. We have to show that a=c &amp; b=d. There will be two…

Q: Show that (B - A)U(C- A) = (BUC)- A 1) Using a Venn diagram 2) Using the definition of equal sets

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Q: Are the sets Z x Z; ((x.y): x*y?) closed in (R , | |) ? What about the sets (0,1]U(2,3); [0, 00) in

A:

Q: How many relations are there on the set {a, b, c, d}

A: Introduction: The relation is a subset of the Cartesian product of two sets. Since it is a subset of…

Q: 1. Prove or Disprove: For all sets A and B, MUB- M+ B

A:

Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

A:

Q: The union of the universal set and any of its subset is * none of the choices cannot be determined…

A: our objective is to conclude

Q: is The set

A:

Q: The difference of two sets, A - B, is defined as the set containing all elements of A except those…

A: U={1,2,3,4,5,6,7,8,9} A={3,5,9} B={2,4,6,7,8,9} A-B=A∩B' Therefore, first find B'=?

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

A:

Q: Consider the sets A = {1,2,3,4,5}, B = {3,4,5,7} and C = {2,4,6,8}. Then the set (AnC)OB is…

A: The sets are given as, A=1,2,3,4,5B=3,4,5,7C=2,4,6,8 Consider the definition of intersection of…

Q: what does R mean in R-C=C' , is that a universal set ?

A: Here R=universal set.   The Venn diagram of C is:   The Venn diagram of R - C is:

Q: If Q, R, S are sets then QU(ROS) and (S-(QUR)) U (R- (QUS))) are disjoint sets.

A: This is a problem of the set theory. Two sets QU(R∩S) and ((S-(QUR))U(R-(QUS))) are given. The…