4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, B = {x\x is real number, x2 - (4 + m) = 0 }, C = {3,4,5} and D = (x|x is set of vowels in the English alphabet } a. Write set U b. Write set A , B and D in roster form c. Find: (A° U B)°n D.

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

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

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: Which of the following is the correct representation of A {2,4,8,16,32,... } in set builder…

A: To determine the correct representation of A=2, 4, 8, 16, 32, ... in set builder notation.

Q: Let the universal set U = {1, 2, 3, 4, 5, 6}, and let A = {1, 2, 4}, B = {1, 2, 3, 5}, C = {x €U|x²…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Let U= x≤14 U = {x ∊ N | x ≤ 14 } be the universal set and the other sets A,B, and C are A = {1, 2,…

A: Given:

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: Let N = {m,y}}. List all the subsets of N. Let A = {j,g}. Is empty set a subset of A? Consider these…

A: Consider the given set  N=m , y Now, the subsets of the set N are,  , m , y , m , y Hence, there are…

Q: How would a mathematician say: “Take the set {s,u} and give it the name G” Let D = {u,j}. Is j a…

A: 1. Let, G=s,u 2. Consider a set D=u,j. A set X is a subset of another set Y. If all the elements of…

Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

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 the universal set U = {x | x is a positive integer}. Also, let A = {x ∈ U | x is divisible by…

A: Given, U={x | x is a positive integer} The positive integers are  1, 2, 3, ... i.e. the natural…

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: Create three non-empty sets A, B, C, that show this statement is FALSE: For all sets A, B, C: A- (Bn…

A:

Q: Create a Venn diagram that shows the following elements: • a, b,c, d in set A • x, y, z in set B •…

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

Q: Given some set A and the universal set U we would say that A u U would result in which of the…

A: Set: A set is a well defined collection of objects. A universal set is a set which contains elements…

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, (R my…

A:

Q: If a finite set A equals the union of k subsets A1, A2,..., Ak, then the number of elements in A…

A:

Q: 5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| =…

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: Suppose S is a set having n elements and T is a set having m elements. Which of the following claim…

A: Suppose S is set having n elements and T is a set having m elements. That is n>m More precisely,…

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

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

A:

Q: Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of thefollowing may be…

A:

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, 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: 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'=…

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: Let A = {a,b,c,d} be the set containing the four elements a, b, c and d. Let S = {X |X is a subset…

A: Sets

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

A:

Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

A:

Q: Let the universal set be the 26 letters in the English alphabet, and let A = {a, b, c, d}, B={c, d,…

A:

Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Let A = {a, d, e}, B = {s, e, d, 4} and R, the universal set, be {a, d, e, s, 4, 5, 6}. a) Compute…

A:

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

A:

Q: Let A be the set of students in your discrete math class and B is the set of students at Arizona…

A: A) A is the set of students in the discrete math class. B is the set of students at Arizona majoring…

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 sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total…

A: Given that set A and set B have 6 and 9 respectively. Now that A is a proper subset of B which means…

Q: Which of the following represent the universal set for the given sets and represent them through…

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

A: Given Venn diagram:

Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

A:

Q: Create a Venn Diagram to represent the sets A = {b, c, d, e} and B = {a, b, f, g}.

A: The given sets are:

Q: For Exercises 37-40, reler to sets A, R, C, Xx, Y, and Z amd find the umiom or Intersection of sets…

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Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

A: