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

Q: List all the subsets of {x, y, z, y}.

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

A: Given, Let S be the universal set,  S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} Set…

Q: List All The Subsets Of The Given Set :  {cranberry,orange,grapes}

A: The Given Set is : {cranberry,orange,grapes}

Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

Q: List all of the subsets of (x, y, z).

A: Given that the set x,y,z. Find all the subsets of the given set. Definition: A set is a well-defined…

Q: that apply.) (a)     A = ∅ ∅ {1} {2} {3} {4} {1, 2} {2, 3} {3, 4} {1, 3} {1, 4} {2, 4} {1, 2, 3}…

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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 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: Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? No.(Why?). Is B a subset of A?…

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Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

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: How many subsets does the set X = {r, s, t, 10, 20, 15} have? %3D

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Q: Find an example of nonempty, distinct sets A, B, C for which (ANB) UC = (AUB) nC.

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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: Given U = {a, e, i, o, u}. a) How many subsets does U have? b) List all subsets of the set {Red,…

A: a) U have 2^n subsets where n is the number of elements in the set that is 2^5=32

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

A: The set B' contains the elements which does not belong to the set B but belongs to the set U. The…

Q: Let the universal set U {1,2, 3,..., 10}. Let A = {1,4, 7, 10}, B= {1,2, 3, 4, 5}, and C = {2,4, 6,…

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

Q: List all the subsets of the set A = {a, b, c, d}

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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: Use the pick-a-point method to show that if A and B are subsets of some universal set U, then A ∪ (B…

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Q: Using the fact that "a countable union of countable sets is countable", show that the statement that…

A: Please see the below picture for detailed solution.

Q: Show that the countable collection B = {(a,b) × (c, d)| a <b and c< d,

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

A: Given Information: Set A = 3,5,11,13,17,19,20,21,24,25 Set B = 1,3,4,5,8,13,15,16,17,19,20,22 To…

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: Let A = {a, b, c}, B = {b,2, c, 1} and S, the universal set, be {a, b, c, 1, 2, 3, 7}. Compute %3D…

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Q: Determine the power set of the set A={q,p,x}

A: if a set contains n elements, then the total number of subsets are 2n

Q: List all the possible subsets of set G, where G = {-7,m,z}- %3D

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Q: Determine the number of distinct proper subsets for the given set {c, a, v, e}.

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

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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: list all the possible sets of Cities thot Charlie Con

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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 U be the universal set, where: U={a,b,c,d,e,f,g,h,i} Let sets A, B, and C be subsets of U,…

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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, 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}, 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: 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: 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}…

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: From the sets

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…

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Q: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

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Q: Let U = {6, 7, 8, 9, 10, 11, 12}, and A = {6, 7, 8, 9}. List all the members of the given set.  Ā

A: The Universal set U is defined as U = {6, 7, 8, 9, 10, 11, 12}.

Q: rea

A: Let A be set of having n elements, then the total number of subsets of A is 2n. Out of n elements ,…

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 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: Find the set A UØ. U= {1, 2, 3, 4, 5, 6} A=(3, 4, 5, 6}

A: Given, U=1, 2, 3, 4, 5, 6, A=3, 4, 5, 6

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

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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”.