For the universal set U {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z} and = A {f, i,l, m, o, g, r, a, p, h, y}, find |A|, A'and |A' |.

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Definition used-               If  U is a universal set and A is a set inside it the complement of…

Q: {k}, {I, m, o}, {n, p}} of the set U = {k, I, m, n, o, p}. Give the

A: Solution is attached below.

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9} Let sets A, B, and C…

A: Given that               U={1,2,3,4,5,6,7,8,9} Let sets A, B, and C be subsets of U, where:…

Q: Let U be the universal set, where: U= = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A and B be subsets…

A: We have give a Universal set ,  U = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 Let A and B are subsets…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9} Let sets AA, BB, and…

A: We have: U=1, 2, 3, 4, 5, 6, 7, 8, 9A=2, 5, 6, 9B=5, 6, 7, 8 ,9C=1, 2, 7, 8, 9

Q: Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4).…

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A and B be subsets…

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Q: Let U = {-5, –4, –3, -2, -1,0, 1, 2, 3, 4, 5} be the universal set, and let A = {-5, -4, -3, -2,…

A: Note:- In given problem, notation used for sets are different in information and problem (sub…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets…

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

A: Given Universal set is, U = {a, b, ..., i, j}. & A = {a, b, d, e}, B = {a, d, h, j}, and C = {a,…

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

A:

Q: Let U be the universal set, where: U = {a, b, e, d, e, fig.h,ij} Let sets A, B, and C be subsets of…

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

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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Q: Let X = {a, b, c, d, e} and let T= {X, ø, {a}, {c,d}, {a,c,d}, {b,c,d,e}}, then * (X, T) is not…

A: Option 2 is correct.

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

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

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Q: Given that U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}, list…

A: Given, U=1,2,3,4,5,6,7  A=1,2,3,4  B=1,2,5,6 C=3,5,7  We have list all of the members of the set ( 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} C = {v, w, x, y, z}.…

A:

Q: Let X = {a, b, c, d,e} and let T = {X, Ø, {a}, {a,d}, {a,e}}, then * O (X,T) is not connected but it…

A: No information is given for topology on Y So i have solved only the middle question

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets…

A: To find AU(B intersection C) (ii) (AUB) intersection (AUC)

Q: Let R, S, T be subsets of the universal set U such that n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

A: We will draw a Venn diagram using the given information: n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

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

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Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

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

A: Given that, A={1,3,6,7,8,10,11,12,14,15,16} B= {2,4,5,9,11,15,18,19}

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

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

A: The universal set U=1,2,3,....,18,19,20set A=2,4,7,8,10,14,16,17,18set B=10,12,14,17set…

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Given, U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}…

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: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A, B and C be…

A: Given set U={1,2,3,4,5,6,7,8,9,10} A={1,6,7,10} B={2,3,10} C={1,3,4,5,6}

Q: Let X = {a, b, c, d, e} and let T ={X, Ø, {a}, {c,d}, {a,c,d}, {b,c,d,e} }, then O XT) is neither…

A: Option 1 is correct.

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: SOLUTION-

Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

A: The universal set is given by, U = {a,b,c,d,e,f,g,h,i} If X is a set from the universal set U. Then,…

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

A: Set A and Set B is the collection of those elements which belongs to both set A and set B (ie,…

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

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, z}.…

A: To find  A intersection of B'

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

A: Here we list all the elements of the set .

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: Given Information -  U = {q,r,s,t,u,v,w,x,y,z} A = {q,s,u,w,y} B = {q,s,y,z} C = {v,w,x,y,z} We have…

Q: Suppose that UU (the universal set), AA and BB are sets, given as shown below.…

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Q: ind the complement of the set given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.  (Enter…

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Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

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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: Suppose U = {{a, b), a, c, d, {a, d), e) is a universal set with the following subsets: A = {(a, b),…

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Q: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a,…

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Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

A:

Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} Let sets A and B be subsets of U,…

A: Given info: U = {1, 2, 3, 4, 5, 6, 7, 8, 9}A = {1, 3, 4, 8, 9}B = {2, 4, 7, 8}

Q: Suppose U = N = { 1,2,3,… … } is the universal set. Let,  A = { 1,2,3,4 }, B = { 3,4,5,6,7 }, C = {…

A: The set is calculated using the formula, , where, U is the universal set . The set is calculated…

Q: Let X = {a, b, c, d,e} and let T= { X, Ø, {a}, {a,d}, {a,e} }, then * O (X,T) is Hausdorff and…

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Q: Write the universal set (U) for the following: X= {1, 3, 7, 8, 9} Y= {0, 1, 3, 9} Z= {2, 5, 8}

A:

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”.