Given some set A and the universal set U we would say that A u U would result in which of the following sets ? u = Union   a. A b. none of these c. Null set d. U, the universal set

Q: Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY PATRIOTS"}…

A: Given:- Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY…

Q: Draw Venn diagram for each the following: (i) AUB when A C B. (ii) AUB when A and B are disjoint…

A: Q 8  Draw Venn diagram in following cases

Q: Suppose A and B are sets. Au B = B if and only if As B. True False

A: Given statement is A and B are two sets. A∪B=B if and only if A⊆B. We know that if A⊆B and B⊆A then…

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: Suppose A, B and C are sets. Prove that if A ⊆ B, then A - C ⊇ B - C

A: Dear student in the question we can't prove,  Suppose A, B and C are sets. Prove that if A ⊆ B, then…

Q: (3) For sets A, B, and C in some universal set U, prove or disprove the following. (a) AnC = B nc =…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Show by membership that for all sets A, B and C: A-(ANB) CA-B

A: Sets and relations

Q: consider the following sets, with U = N; that is, the universal set is the set of natural numbers:…

A: Given B=x|x=n2, 1<n<5

Q: For any sets A and B, which statement is false? OA NA = {} OAUB CANB OAN BC B OA CAUB

A: Remark:  We know that The union of two sets A and B is the set of all those elements which are…

Q: if A ⊆ B and C ⊆ B^c , then A ∩ C = ∅.

A: Given that A⊂B and C⊂Bc.We need to prove that A∩C=∅. On the contrary assume that there exists x such…

Q: Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY PATRIOTS"}…

A:

Q: Let A, B, and C be subsets of a universal set U. Suppose n(U) = 80, n(A) = 20, n(A∩B) = 5, n(C) =…

A: Given, n(A) = 20, n(A∩B) = 5, n(A u B)= 40

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A:

Q: Let A, B and C be sets. Prove that if B- A CC-A then AUBCAUC.

A: Note: As per Bartleby's guidance, if more than one question asked, only one question has to be…

Q: Given a universal set U and sets A, B CU, prove that A C Bº if and only if AnB = 0. Prove that (AN…

A:

Q: Given the sets A, B and the universal set U, and that A and B are not disjoint, draw a Venn diagram…

A: It is provided that A, B are two sets that are not disjoint and U is the universal set. We need to…

Q: Let C and D are be the subsets of some universal set U. Then D-C = C'nD is

A: We have to identify the statements as true or false.

Q: Consider the following sets, with U=N: that is, the universal set is the set of natural numbers and…

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

Q: Show that if A, B, and C are sets, then A n Bn C = A U BUC a) by showing each side is a subset of…

A:

Q: Draw Venn diagram for each the following : (i) A UB when AcB. (ii) A UB when A and B are disjoint…

A: Given that:                       (i)A∪B when A⊂B  (ii)A∪B when A and B are disjoint sets.  (iii)A∪B…

Q: 17. Which of the following accurately defines the complement of a given set, say A? A. {x|x€U and…

A: Complement of any given set is defined by all the elements in the universal set U which do not…

Q: Given the universe U, which of the following is not equivalent to the set A? A∪(A∩B) A∪U A∩U A∩A

A: Lets first come on the most obvious options we know  A∪U=U A∩U=A A∩A=A Now A∩B has some common…

Q: Draw Venn diagram for each the following: (i) A UB when A c B. (ii) A UB when A and B are disjoint…

A: 8 (i) To draw Venn diagram of A union B when A is proper subset of B, since A is proper set of B, it…

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (AUB)' n C' on the Venn diagram.…

A: As Prof. P. K. Giri said "Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic…

Q: Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U. B. h, p Find…

A:

Q: Let U be the set of restaurants in Los Angeles, B be the set of barbecue restaurants in Los Angeles,…

A: Given Information -  U is the set of all restaurants in Los Angeles B is the set of barbecue…

Q: For any two sets A and B, if m* (A) = 0, then m* (AUB) = m* (B). In particular, if BCA, then m* (B)…

A:

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A:

Q: Use the Venn diagram below to determine if (AnC) n B= (An B)nC and, if it is, what regions does the…

A: The given Venn diagram is: From the Venn diagram, it is clear that, The elements in set A are as…

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A: A Venn diagram is given as follows.

Q: If the universal set is given by S = {1,2,3,4,5,6), and A = {1,2}, B = {2,4,5), C = (1,5,6) are…

A:

Q: Copy the following Venn diagram and shade each of the following sets separately. A (i) An (BUC) (ii)…

A: In the Venn diagram U is the universal set .The Universal set contains all the sets . In the union…

Q: Suppose that the universal set U is the set defined as U={1,2,3,4,5,6,7,8,9,10} Write the sets A…

A:

Q: If A, B and C are sets such that; A ∆ B = A ∆ C, then   B is a subset of C        Select one: A.…

A: The meaning of A ∆ B is A ∆ B = (A u B) - (A n B) So A ∆ B contains that elements from set A and set…

Q: Show by membership that for all sets A, B and C A - (AnB) CA-B

A:

Q: Assume that the letters of the English alphabet will be converted to numerical forms as follows: A =…

A: The set A is A=26. The set B is B=25. The set C is C=24. The set Z is Z=1. The set space is space=0

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

A:

Q: Refer to the Venn diagram below. How many elements are in the set AUB? nAUB) -

A: Given,

Q: Given the following sets X = {a,b, e} {a} {a, d} in the universe U = {a,b, c, d, e}, what is (X'nY)…

A: we have given sets X, Y, Z and U be an universal set.  We have to find the following

Q: The Venn diagram shows the universal set č, set P, set Q and set R. Given n(Q) determine n(3). n(P U…

A: Given

Q: The Venn diagram shows sets A, B, C, and the universal set U.

A: Given Venn diagram:

Q: 1. If A ana B are sets, show that Ac B if and only if An B = A.

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

Q: Let A, B, and C be sets. Prove that if A CB and B C C, then A C C.

A: Let, x belongs to A. Since, A is a subset of B, so, x belongs to A implies that, x belongs to B. So,…

Q: Consider the following: Let the universe of A and B be the set U. An B= AUBIF and only if A = B. A…

A: Solution by using properties of sets :

Q: Show that if A and B sets then A – B = ANB

A:

Q: Let A, B, and C be finite sets. One of the following statements is false, which one? A. Αn(BU ) -…

A: Given set A, B and C(A). A∩(B∪C¯)Using distributive law…

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (CnA)'U B on the Venn diagram.…

A: Venn Diagram

Q: Let at AuB = {1, 2, 3, 5, 8}, Cc = {4, 7, 9} and let the universal set U be all positive integer…

A: From the information, AuB = {1, 2, 3, 5, 8}, Cc = {4, 7, 9}, U={all positive integer less than or…

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”.