What is a Partially Ordered Set? Draw the Hasse diagram for the poset x is a divisor of y on the set {1, 2, 3, 5, 6, 10, 15, 30}

Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

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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: Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set. A ∪ B

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Q: Choose any that is a subset of the set S={10, Ø,{{ Ø}}} 0{0} {(Ø), 10) 0 {{0}}

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Q: I Let A = {1,3,5,7}, B = {1,2,3}, C = (6,7} and suppose the Universal set is U = {1,2,3, ..,7}. List…

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Q: How many proper subsets does the set W, containing the days of the week, have? W={Monday, Tuesday,…

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Q: Let A={1,2,3,4,5} and B={2,3,4}. Find C such that CCA and BC. (There are more than one possible sets…

A: A set is a collection of objects. A set has the property that elements in the set cannot be…

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: Roster form: G = {3, 6, 9, 12, 15, 18, 21, …} What is  the Set Builder form?

A: There are 2 ways of representing a set.  Roster form Set Builder form In roster form , all the…

Q: 3. Let U = {1,2,3, 4, 5, 6, 7,8,9, 10} and A = {1,3,5,7,9} and B = {1,4,5,9}. (a) Find AUB (b) Find…

A: We have,U=1,2,3,4,5,6,7,8,9,10A=1,3,5,7,9B=1,4,5,9

Q: {0,5, 10, 15, ..., 50}. What is the cardinality of the set P(X)? Consider the set X

A: Given that X={0,5,10,15,.....,50} To find The cardinality of the set.

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

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Q: Let A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}. Find the cardinality of the given set.34. n(B)…

A: Given  A = {1, 2, 3, 4, 5}, B = {1, 3, 5}, C = {4, 6}.To find the cardinality of the given sets

Q: Let A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}. Find the cardinality of the given set. a. n(B) b.…

A: To Determine: Find the cardinality of the given set.

Q: If P = {1, 2}, form the set P × P × P.

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Q: In the poset represented by the Hasse diagram, consider the set {e, h, i}. The upper bound of this…

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Q: Find the union and intersection of these sets: Set N's elements are the colors in the rainbow; Set…

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Q: Consider the sets A {r|a E Z,-2<r < 2} {2) C = {1,3, 5, 9, 11} D = {-2, –1,0, 1, 2} E = {a, b, c, d,…

A: topic - sets

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 the elements of the given set. the sets (A n B) U C and An (B U C), where A = {1, 2, 3, 4, 5,…

A: Given, A = {1,2,3,4,5,6} B = {3,4,5,6} C = {1,2,6,7,8} Now,  we have to find A∩B∪C   and  A∩B∪C

Q: List the elements of the given set. the sets (A N B) UC and A N (BU C), where A = {1, 2, 3, 4}, B =…

A: use operation of sets to find the desired results

Q: Suppose your universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and we have the following subsets…

A: Given, U={1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={2,3,4,5}C={4,5,8,9}To find:(A∪B')∩C

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: Which sets are proper subsets of set A? A = {1, 3, 5, 7, 9} Select all that apply. O {1, 2, 3, 4}…

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Q: Let the universe of discourse be U = {1,2,3,4,5,6,7,8,9,10). And let A = {1,3,7), B = {2,4,5,7}, and…

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Q: List the elements of set D = { x:x є N, x is a multiple of 5} where N= {1, 2, 3, ...}.

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Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

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Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: Let A={2,4,6,...}, then A is well-ordered set ylgn ihi

A: Given a statement

Q: Q2) Let A = {1, 2, 3, 5} and B = {-1,0,1,2,3,4, 5, 6} be the two sets. Draw A and B on Venn diagram…

A: Given,          The two sets are A=1,2,3,5 and B=-1,0,1,2,3,4,5,6.

Q: Find the intersection of the sets. {r, e, a, l}∩{l, e, a, r}

A: Given:A=r,e,a,lB= l,e,a,rIntersection set:The set containing all elements of A that also belong to…

Q: 3. Let U = {1,2,3,4,5}, B = {4,5} and A and B are non-empty sets. Contruct the venn diagram and find…

A: Venn diagram is the pictorial representation of the finite number of groups. It used to understand…

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 = {1, 2, 3, 4, 5} be the universal set. Let A = {1, 2, 3}, B = {1, 3, 5}, and C = {2, 4, 5}.…

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Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: raw the Hasse di

A: Given, the poset x is a divisor of on the set                           {1, 2, 3, 5, 6, 10, 15, 30}…

Q: For A = {a, b, c}, let (24, S) be a partially ordered set. Find (i) an upper bound, (ii) a lower…

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Q: Which set is the subsets of all given sets {0,1,3, 5, 7} {0} {1}

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Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

Q: the Universal set be the letters a through j: U = {a, b, ., , J}. Let A = {C, e, f, 1), B = {b, c,…

A: Given that  Universal set : U = {a, b, c, d,....... i, j } A={c, e, f, i} B={b, c, g, i} C={b, c, d,…

Q: B. Let A = {1, 2, 3, 5, 6}, B = {3, 4, 6, 8} be two subsets of the universal set U = {1, 2, 3, 4, 5,…

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Q: 9. There are 100 students in Language school. They study one or severa languages. We know: 48 –…

A: Let, total students that is n=100 Number of students who study English that is nE=48 Number of…

Q: State the cardinality of the set. The set of subsets of {2, 3, 7, 9, 13} 32 c     25 ℵ0 none of…

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Q: Let A = {5,6, 7}. What is P(A)? Do not merely describe the set, but rather write down all the…

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Q: Consider the universal set U: {1, 3, 7, 8, 15, 16, 17, 20} Set A: {3, 8, 16, 20} Set B: {1, 15,…

A: We have given that,  Set A: {3, 8, 16, 20} Set B: {1, 15, 17, 20} Then,  We will find  Find AC ∩ B=…

Q: Let R be the divisibility relation (|) on A = {3,5, 6,7, 10, 20, 30}. We know that (A, |) is a…

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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: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

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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”.