A universal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U)= 18, n(AB) = n(An C) = n(B n C) = 9, n(An Bn C)=6, and n(A UBUC) = 15, determine each of the following. a) n(AUB) b) n(A' UC) c) n(A n B)' C

Q: 2) Let's investigate the set A∪(Bc∩Cc)A∪(Bc∩Cc) and the set (A∪Bc)∩(A∪Cc) using some concrete…

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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\…

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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: 7. Determine whether each of these pairs of sets are equal. a) {1, 3, 3, 3, 5, 5, 5, 5, 5)}, {5, 3,…

A: 7. (a) Let the given sets are A= { 1,3,3,3,5,5,5,5,5 } and B= { 5,3,1 } = { 1,3,5 } We know that a…

Q: (а) An B 3 o (Ъ) в СА (с) АДВ — AU B.

A: The detailed solution is as follows below:

Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 27, n(B) = 26, n(C) =…

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Q: 10 b)  Let A, B, C and D be sets. Prove that C ⊆ A and D ⊆ B, then C ∪ D ⊆ A ∪ B

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Q: Given the universal set U = {a, b, c, d, e, f, g, h, i, j), A = (b, c, d, j}, B (b, c, h, i), and C…

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Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 58, n(A) = 23, n(B) = 21, n(C) =…

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Q: 1. Let U = {a, b, c, d,..., z}, A = {a, e, i, o, u, y}, and B = {m, a, t, h, e, i, c, s}. List the…

A: Given: U=a,b,c,d,…,z A=a,e,i,o,u,y B=m,a,t,h,e,i,c,s To find: A∪B A∩B A∩B¯

Q: For A= {2,x,y} B= {w,x} C={1,2,3} U={1,2,3,4,w,x,y,z} Use proper set notation a) C- A AUB c) d) e)…

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

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Q: a)​ n(A ∪ ​B) ​b) nA′ ∪ C ​c)

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Q: Let X = {v, w, x, 9, 10, 11), Y = {w, y, z, 9, 11, 13), and Z= {w, y, 10, 11, 13). List the members…

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Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} %3D Let sets A and B be subsets of…

A: Answer is n(AUB) = 13   Solution: n(A) : means number of elements in set A We have n(A) = 9 , n(B) =…

Q: 2. Use set builder notation to describe the following set i) A={2,4,6,8,10} A=(3,6,9,12,15,18} ii)…

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Q: If A = { 1 , 2 , 3 , 4 , 5 } and B = { 4 , 5 , 6 , 7 , 8 }, find the following. The universal set…

A: Given :   A = { 1 , 2 , 3 , 4 , 5 } and B = { 4 , 5 , 6 , 7 , 8 } U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 ,…