Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n, r, s, v, w, x, z}. How many elements does the complement of set B have?  a. 19 b. 9 c. 17 d. 18

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…

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Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

Q: Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set. A ∪ B

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, c, d, j}, B =…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, g, i, j}, B =…

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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: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

Q: Given Universal Set = { a,b,c,d,e,f,g,h,i,j}; A = { a,b,c,e,g,h}; B = { b,c,e,f,h,i}; C = {…

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Q: Use the Venn diagram to list the set B-A' in roster form. Choose the correct answer below. O A. B-A'…

A: Difference of two sets:

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: Let the Universal set be the letters a through j: U= {a, b, ..., i, j}. Let A = {e, f, h, j}, B {d,…

A: Ans - Given,          The Universal set  U = {a, b, c, d, e, f, g, h, i, j}          A = {e, f, h,…

Q: Let the Universal set be the letters a through j: U = {a, b, .., i, j}. %D Let A = {a, d, f, g}, B =…

A: The universal set U is defined as, U = {a, b, c, d, e, f, g, h, i}.

Q: Let A and B be subsets of a universal set U and suppose n (U) = 275, n(A) 100, п (В) = 70, п (An B)…

A: If A is subset of universal set U, then n( Ac ) =n(U)-n(A).

Q: 6. Let A, B be finite sets. Show that if JA\ B| = |B\ AJ, then |A| = |B|.

A: The order of a set defines the number of elements of the set. For two finite sets A and B,…

Q: Let the Universal set be the letters a through j: U={a,b,...,i,j}U={a,b,...,i,j} . Let A=A=  {a, c,…

A: The given sets are as follows-         U={a,b,c,d,e,f,g,h,i,j} and  A={a,c,e,g} and B={a,b,e,h} and…

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: U is the universal set. A and B are subsets of U. n(U) = 30, n(A) = 13, and n(B) 12 n(A U B)' = 8…

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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: Given the folllowing sets (where U represents the Universal set), determine the result of the…

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Q: The universal set is U with n(U)= 70, A and B are subsets of U with n(A)= 55, n(B)= 20 and n(A’…

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

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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: Let the Universal set be the letters a through j: U = {a, b, ..., I, ]}. Let A = {a, d, g, h), B =…

A: Introduction: The set (B ∪ C) contains all the elements that are either in set B, or C, or in both,…

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: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

A: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

Q: Use the Venn diagram to list the set (ANB)' in roster form. Choose the correct answer below. O A.…

A: We have to find the set  A∩B'  using the given Venn diagram.

Q: 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…

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Q: Consider the sets A = {x € Z*, x < 13 | x prime} B = {x e Z*,x < 13 | x even} C = {x € Z*,x < 13 |…

A: We know that the set of positive integers is written as . We have to find the size of the set  .…

Q: Use the Venn diagram to list the set (An B)' in roster form. a B Iz Choose the correct answer below.…

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Q: Let U be the universal set, where: U = {a, b, c, d, e, f, 9, h, i, j, k} Let sets A, B, and C be…

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Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: Use the Venn diagram to list the set B-A' in roster form. U A b h O A. B-A'={b,c,t,w} O B. B-A'=…

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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: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: 1. Which of the following sets are equal? А 3D (а, b, с, d} C = {d, b, a, c} В 3 [d, е, а, с) D =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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…

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Q: Given the universal set U = {0, 1, 2, 3, 4, 5, 6} and sets A = {0, 2, 4, 6 }, B = {1, 3, 5}, c= {4,…

A: Given:                          U=0,1,2,3,4,5,6Set A=0,2,4,6Set B=1,3,5Set C=4,3,2,1 (a) We find…

Q: Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 115, n(B) = 70, and n(A ∩…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {e, f, h, j}, B =…

A: Ans - Given,            U = {a, b, c, d, e, f, g, h, i, j}           A = {e, f, h, j},  B = {d, f,…

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: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

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

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Q: Let the Universal Set, S, have 100 elements. A and B are subsets of S. Set A contains 42 elements…

A: To find the number of elements in A but not in B we need to subtract the number of common elements…

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

A: Given Venn diagram:

Q: Have a look at the following sets. A = {x, y, z, t}, B = {s, t, u, v, w, x}, C = {t, v, u, s}, D =…

A: Given sets are, A=x,y,z,tB=s,t,u,v,w,xC=t,v,u,sD=s,t,u,v Let,   A⊆B   : A is a subset of B i.e.…

Q: Consider the two sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is…

A: Given :               The sets A = a,e,i,o,u   and B = c,m,n,r,s,v,w,x,z

Q: 13. Consider the following sets, with U = N; that is, the universal set is the set of natural…

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Q: Use the Venn diagram to list the elements of the set in roster form. O A. (18, 19} О В. (11, 12, 14,…

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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: Does the set span R3?

A: s=310,0-11,12-1Let v1,v2,v3 in R3 , if span(v1,v2,v3)=R3 then v1,v2,v3 are linearly independent.Rank…

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”.