7. Let the universal set be U = {a,b,c,d,e, f} and let A={a,c,e} and B={a,b,c} Find: a. AUB b. ANB С. ВС d. A-B

Q: Let U be the universal set, where: U = {a, b, c, d, e, f, g, h, i, j} Let sets A, B, and C be…

A:

Q: 2. Find sets A, B, C, D such that the sets (An B) U (C\ D), ((An B)U C) \ D, An(BU C) \ D, An(BU (C\…

A: Example of such set A,B,C,D are given below

Q: (1) *, Let A and B be sets prove the following. (c) A C B if and only if B° C A°.

A: Let A and B be sets.

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 A,B,C and D are any sets then prove: If A C C and B c D then A U B CCUD.

A:

Q: 1. Let the universal set be the set S= {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: a)  b)  c) d) e)

Q: A set S is denmberable if S does not have the same cardinality as P. ylgn ihi

A: A set S is denumerable if S does not have the same cardinality as P

Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

A:

Q: If A and B are non-empty sets defined on a universal set U. and An B = Ø, then A\B is equal to

A:

Q: Consider the set M = {m,a,{t,h},e,m,{a,t,î},c,s}. 1. What is the cardinality of M?

A: M = { m,a, {f,h} , e,m, {a1, i} ,e ,s}1. Carbimalty of M = 72. No, {m,a,f,h} is not a properSubser…

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

A: The set B' contains the elements which does not belong to the set B but belongs to the set U. The…

Q: The set of elements that are members of set A or set B or of both sets is called the. of sets A and…

A: Note that, a set is a collection of objects. All the object that are clearly determined in a set are…

Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

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: Let S be the universal set, where: S = {1, 2, 3, ..., 23, 24, 25} Let sets A and B be subsets of S,…

A: Given Information: Set A = 3,5,11,13,17,19,20,21,24,25 Set B = 1,3,4,5,8,13,15,16,17,19,20,22 To…

Q: Construct a Venn diagram illustrating the sets below. U={a, b, c, d, e, f, g, h} W={a, c, d,f} х-…

A:

Q: 4. Let A and B be sets, prove that P(A)UP(B) C P(AUB).

A:

Q: Let the universal set be U = { x | x is a natural number } and let set E = { 2,4,6,8 . . . } What is…

A: Given: Universal set U=x|x is a natural number and E=2,4,6,8,.... To find: E'

Q: 1.         Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U =…

A: From the given information, the given sets are:

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

A:

Q: Let the Universal set be U = (1, 2. . 20)., A= (1,6.11,19) and B = (6, 11, 14, 7) fa-8) (1) = '(A@…

A: Since you have posted multiple questions. I am answering the first one. Please post the question for…

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: Let {S,}EN is a disjoint seqeuence of measurable sets , then: US, µ(S,)

A: Given a statement

Q: Let A, B, and C be any sets. Mark the statement that is false O A U (BUC) (AUB) UC OACUCC (An C)c OB…

A:

Q: Let A {p, q, r, s, t}, B = {s, t, u, v}, and C = {p, r, t, u}. Find the set. An C {p, r, s, t, u, v}…

A: See attached file for a step by step explanation to find the required set.

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

A:

Q: Let U = {q, r, s, t, u, v, W, x, y, z}, A = {q, s, u, w, y}, B= {q, s, y, z}, and C= {v, w, x, y,…

A: To determine the elements of the set shown below.

Q: What is the union of sets A and B?

A: Assume the independent sets A and B. Set A = 0,1,2Set B = 4,5,6

Q: Set C and the universal set U are defined as follows. U={p,q,r,x,y,z} C={p,q,x}

A: Given,        Set C and the iniversal set U are defined as follows :         U=p,q,r,x,y,z…

Q: Let U be the universal set, where: U={a,b,c,d,e,f,g,h,i} Let sets A, B, and C be subsets of U,…

A:

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

A:

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: is the set [5,100] compact?

A: Given that:A set is S=5,100.We have to check whether a set 5,100 is compact or not?

Q: Draw a venn diagram to represent the set A insersects B, but B has a line over it showing its a…

A: To represent the given combination of sets (A intersection B complement) in a Venn diagram

Q: (2) For the following three set definitions, describe the ele universal set is the entire English…

A: Given,  Set 1: A, E, I ,O, U, Y Set 2: A, B, C, D, F Set 3: I, J, K, X, Y, Z

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: Show that if A and B are finite sets, then A ∪ B is a finite set.

A:

Q: 2. If A, B and C are sets, use a membership table to prove or disprove: A U (B N c) = (A U B) n (A U…

A: First we prove that left hand side is subset of right hand side and then right hand side is subset…

Q: Let SS be the universal set, where: S={1,2,3,...,23,24,25}S={1,2,3,...,23,24,25} Let sets AA and BB…

A:

Q: Let UU be the universal set, where: U={a,b,c,d,e,f,g,h,i}U={a,b,c,d,e,f,g,h,i} Let sets AA, BB, and…

A:

Q: Let Z = {a, b, c, d}. What is the cardinality of the Power Set of Z, |P(Z)|?

A: Power set:Power set of any set S is the set of all subsets of S, including the empty set and S…

Q: Give an example of two sets A and B which are homeomorphic, A is complete and B is not.

A:

Q: Prove that if A ~ B then P(A) ~ P(B).

A: Consider the provided question,

Q: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

A:

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…

Q: Let A, B,C be three sets. Show that if BC A and CCA\B, then BC A\C.

A:

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

A:

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…

Q: Let the Universal Set, S, have 120 elements. A and B are subsets of S. Set A contains 92 elements…

A: Universal set s=120 elementsSet A=92Set =27elemants in  A and B=21

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.