Suppose * is a binary operation on a set S. Which statement best describes problem?

Q: Define a smallest possible set of which both {1,3,5} and {0, 3,4 } are subsets.

A: The subsets given are {1, 3, 5} and {0, 3, 4}.

Q: a student visits an arcade each day after school and plays one game of either laser man, millipede,…

A: Solution:

Q: 6. Prove or disprove: Every associative binary operation on a set with two elements is commutative.

A: We have to prove or disprove the following statementEvery associative binary operation on a set with…

Q: Suppose a set of students’ information is formed as S={Student name, ID, contact number,…

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Q: Prove that the union of countable set is countable

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Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given that, S = {Brinsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

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Q: A set has 20 elements. How many subsets of the set can be formed such that each subset consists of…

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Q: 26. Let I be the set of all infinite sets. Is I an element of itself?

A: Given I is the set of all infinite sets.  We check whether I is an element of itself.

Q: Let X={a,b,c} and Y=∅. What is X∩Y? If the set is empty type ∅, otherwise write your answer in…

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Q: Suppose that A and B are sets. A is a subset of X and B is also a subset of X. Please teach me how…

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Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: 9. Let A = {0,2} and В 3 {3, 5, 7}. Use the set-roster notation to write each of the following sets,…

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Q: 6. Suppose that U is an infinite universal set, and A and B are infinite subsets of U. Answer the…

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Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: Is this true or false and why : ∅ ⊆ {1}

A: Given: It is given that ϕ⊆1. To find: We have to determine whether the given statement is true or…

Q: Of the 70 students in Dr.Cross’s Math118 section, 40 can program in Randin Python, 30 can program in…

A: Given information: The total number of students in the class is n(T) = 70. The number of students…

Q: 2 of 4 02 (Core): I can represent a set in roster notation and set-builder notation; determine if an…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: If A = {1, 2, 3, 8} and U = universal set = {1, 2, 3, 4, 5, 6, 7, 8}, the complement of A is

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Q: Assume that A = {1, 2, 3, 5, 8, 7} B = {5, 3, 4} C = {2, 3, 5, 6} and that U is the universal set of…

A: It is basic set theory problem

Q: I think there is a typo. It's supposed to say A has no finite subcover since any finite subset of A…

A: R is not compact with standard topology.

Q: What is the cardinality of the power set of a set with 4 elements?

A: Introduction: The cardinality of a set:The cardinality of a set is the total number of unique…

Q: 2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the…

A: Please see the attachment

Q: How would you write the set Q({∅,{∅,{∅}}}) in list notation?

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Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: We want to find nA∪B'

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: What is the cardinality of the power set of a set with 5 elements?

A: The power set of a set S, denoted by P(S), is the set of all possible subsets of S, including the…

Q: Is the following true or false? ∅ ∈ {∅,a}

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Q: 5. Show that a finite union of countable sets is countable.

A: The answer is given as follows :

Q: A set with 6 elements has —- subsets

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Q: True or False: set A is a subset of set B. 1. A={Iphone owner} B={Owner of a smartphone} 2.…

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Q: Shade (A ∩(B ∩ C)') and (A-(B∩ C)) on the Venn Diagrams.   Do they represent the same set?

A: The objective is to draw the Venn Diagram of A∩B∩C' and A-B∩C Venn diagram of B∩C is,

Q: 5. Show that a finite set is a closed set.

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Q: A set contains fourteen elements. How many subsets can be formed from this​ set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this​ set