Let U = {a,b,c,d,e,f, 12,13,14,15,16,17}, X = {a,b,c,13,14,15}, and Y = {b,d,f,12,14,16}. List the members of the set X'nY', using set braces. x'nY' = { (Use a comma to separate answers as needed.)

Q: U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all…

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Q: Show that the set S = {(1, 2, 3), (0, 1, 2), (−2, 0, 1)} spans R3.

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

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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: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8, 9} W={1, 4, 5, 6,…

A: first we will find the intersection of each then find the intersection of the two then draw

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= {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 determine the elements of the set given below

Q: Let U=​{q,r,s,t,u,v,w,x,y,z}, A=​{q,s,u,w,y}, and B=​{q,s,y,z}. List the elements in the set (A ∩…

A: we know that , X ' = U - X

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

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Q: Let U={a, b, c, d, e, f, g, h, i, j}; A={a, c, e, g, i); B={a, c, i, j}; and C={f, g, h, i, j). List…

A: It is given that,   U = {a, b, c, d, e, f, g, h, i, j}   A = {a, c, e, g, i}   B = {a, c, i, j}   C…

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}  List all the…

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

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Q: Let U = {a,b,c,d,e,f,10,11,12,13,14,15}, X= {a,b,c,13,14,15}, and Y = {b,d,f,10,12,14}. %3D %3D List…

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

A: Answer is n(AUBUC)={1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 18, 19, 20}

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}.…

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

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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: 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: 1)Given that  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,…

Q: Let U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14} be the universal set. Let A = {2,3,4,5,6,7,8,9,10}. II.…

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Q: List all the subsets of the set {I, D, E, A}

A: Answer -Find the list of all the subsets of the set {I, D, E, A}

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Let X= {p, q, r, 15, 16, 17}, Y ={q, s, t, 15, 17, 19}, and Z= {q, s, 16, 17, 19}. List the members…

A: let X={p,q,r,15,16,17}   Y={q,s,t,15,17,19} Z={q,s,16,17,19} find member of X∪(Y∩Z)=?D

Q: Let U = {a,b,c,d,e,f,17,18,19,20,21,22}, List the members of the set X'nY', using set braces. X =…

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

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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: 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,…

A: Solution:     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 }…

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 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: Let U={j,k,l,m,n,o,p}U={j,k,l,m,n,o,p}be the universal set. Let V={m,o,p}V={m,o,p},…

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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 O XT) is neither…

A: Option 1 is correct.

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 U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f.g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

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Q: Let U = {a, b, c, d, e, f, g} be the universal set. Let S = {a, b, c, d} and T = {a, d, g}. List the…

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Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8, 9} W={3,5, 6, 8, 9}…

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Q: Let be 7= {x, 0, {a}, {cd}, {a,c,d}; {b, c, d, e}} topology on X = {9₁b, c, d, e}. Check if X is…

A: A set X is connected if and only if X can not be written as union of disjoint open sets. An element…

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}. %3D…

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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,yz}. List the elements in the set.A'uB

A: Given , 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,…

Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the…

A: The set A=t,u,v,wS1 be the set of all subsets of A that do not contain wS2 be the set of all subsets…

Q: Let U = {1,4,5,8,9,10,13,15,16}, X = {4,8,10,15}, Y = {4,5,8,9,10}, and Z = {1,4,5,15,16}. List the…

A: Given:     U=1,4,5,8,9,10,13,15,16    X=4,8,10,15    Y=4,5,8,9,10  Z=1,4,5,15,16 Find:…

Q: Consider a set S = {A, B, a, b, c, d, 1, 2, 3, 4}.

A: As per guidelines, the handwritten answers are not acceptable. So, we will provide only typed…

Q: Let U​ = ​{a,b,c,d,e,f,13,14,15,16,17,18​},   X=​{a,b,c,14,15,16​}, and Y=​{b,d,f,13,15,17​}.   List…

A: Given U=a,b,c,d,e,f,13,14,15,16,17,18. X=a,b,c,14,15,16 and Y=b,d,f,13,15,17. We know that for a set…

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: 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,…

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Q: Let X= {x, y, z, 19, 20, 21}), Y = {y, m, n, 19, 21, 23}, and Z= {y, m, 20, 21, 23}. List the…

A: List the members of set..

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”.