S = [-1, 0) ∪ {1/n: n= 1, 2, 3, ..., } What set of elements are in the universal set but not in S

Q: Which of the following sets are finite or infinite(i) The set of months of a year(ii) {1, 2, 3, . .…

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Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Given information- We have given that the set S has 7 elements. We have to find the number of subset…

Q: 4. Two sets with the same number of elements is known as . sets 5.In a market, 50 women sell only…

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To…

Q: d. Choose one amo the wel- Ordering Principle, Zorn's Lemma and Axiom of Choice. Then either…

A: (d.) Describe / Discuss the statement of any one among the Well Ordering Principle, Zorn's Lemma and…

Q: Auniversal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18,…

A: Given A universal set U consists of 18 elements. if sets A, B, and C are proper subsets of U and…

Q: Using Pigeonhole principle to prove, if there exists 6 integers (between 1 and 10) in set S, then…

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Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: The set of odd number from 1 to 9. :U = {1,2, 3, ..., 10}, A = {1,2, 3, 4, 5}, B = {2, 4, 6, 8, 10},…

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Q: Do A = {1,2,3, 4,...} and B = {-1,0,1,2, 3, 4, ...}have the same cardinality? O No because elements…

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Q: The Universal set U is set of all odd numbers between 1 and 50; A is a set of all x's such that x is…

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Q: 1. Which of these are equal: {r,t,s}, {s,t,r,s}, {t,s,t,r}, {s,r,s,t}?   2. List the elements of…

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Q: epresents the universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, a, b, c} A = {2,4,6,8} B = {1,2,3,4,a,b} C…

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Q: Choose all sets that are countable: O (-0.5, 7.5) O {3k | k E Z} O (-0.5, 11.5] n Z ONU{-1} 1 EN n+1

A: Countable sets has bijection with the set of all natural numbers.

Q: Let U be a set with 300 elements. (a) Suppose that we choose three subsets of U such that each of…

A: Given that U is a set with 300 elements. So,U=300 where U denotes cardinality of U.Suppose the three…

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

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Q: (i) If X, Y, Z are finite sets, then |XnYn Z°| = |Xn1- |XnYn Z|, where ?1 (i) If X, Y, Z are finite…

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

Q: 1. Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even…

A: As per our guidelines we are only supposed to solve three questions  Now we will solve first three…

Q: A, B, and C are subsets of { 0, 1, 2, ...}.  Give the boolean formula for the absolute complement…

A: Let X be the set of elements which satisfies the given formula. The set X is: X={x ∈{0,1,2,…} : x∈A…

Q: uestion 4 Let A, B be the subsets of some universal set &, a) Draw a Venn diagram for the set BN A°,…

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Q: Let U {1,2,..., 100}, and let A consist of 15 unknown numbers taken ran- %3D domly from U. Let B…

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Q: 3. Find the number of elements in A, UA,UA, if there are 100 elements in each set if a) the sets are…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: 5. Give an example of a collection (A,, of sets with the properties that: (a) A, # Ø for each i> 1,…

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Q: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let U be a universal set with disjoint subsets A and B such that n(A)=44, n(A′)=45, and n(B′)=70.…

A: Given data: The number of elements in A is n(A)=44. The number of elements not in A is n(A')=45. The…

Q: pls. answer correctly... thank you

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: şa,6şc2.Debine a selation I on. pl2) which satisfies. For all set A and B in P(X) AJB ANB+

A: Given x={a, b, c}P(x)={ {a} , {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, ∅}a relation onJ: P(x)…

Q: A universal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) =…

A: A universal set is a set which has elements of all the related sets, without any repetition of the…

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

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Consider that  the set S has 7 elements. The subsets can have 3 elements, 2 elements, 1 element, and…

Q: A universal set U consists of 23 elements. If sets A, B, and C are proper subsets of U and n(U) =…

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Q: 3. A proper subset of a set S is a subset of S which is not equal to S itself. Some people write "A…

A: Introduction: If Set B has at least one member that is absent from Set A, Set B is said to be a…

Q: We have a deck of cards. In this deck we have cards of the four different suits (clubs, diamonds,…

A: Sample space gives all the possible outcomes of an experiment. For example, tossing a coin is an…

Q: 25. Let S = {Ø, {Ø}} be a subset of R.Which of these statements about S is/are not true? I: ØCS A. I…

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Q: that the set O of all odd counting numbers, O = {1, 3, 5, 7, . . .}, and N = {1, 2, 3, 4, . . .} are…

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Q: state which of the following sets is finite or null (empty) a) the set of persons who have…

A: By the definition  we know, A finite set is one which has a definite number of elements.  An…

Q: The union of two fuzzy sets S and T is the fuzzy set S ∪ T, where the degree of membership of an…

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

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Q: Use an element argument to prove the statement. (Assume that all sets are subsets of a universal set…

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Q: o Digits = {0, 1, 2, ...,9} o Letters = {A, B, C,..., X, Y, Z} %3D o How many valid passwords are…

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Q: If E1,E2,E3,...,EnE1,E2,E3,...,En are non empty disjoint sets and subsets of sample space SS, and a…

A: Given that E1,E2,E3,…,En are non empty disjoint sets and subsets of sample space S and En+1 is also…

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

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Q: Auniversal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18,…

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Q: Given the following situation: •the universal set U= {positive intergers less than 20} •X=…

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Q: Let the Universal Set be S. Let A and B are subsets of S. Set A contains 29 elements and Set B…

A: Introduction: A universal set is a set containing all the element. No element is repeated in the…

Q: point the step in the argument that is not valid and explain why ? Theorum: For all sets A,B   A’∪B’…

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Q: # 2. Prove that for all sets A and B, (A - B) N B = Ø. Proof (A Proof By Contradiction):

A: The given problem is to prove the following statement using the method of contradiction. To prove :…

Q: 1. Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: A universal set U consists of 20 elements. If sets A, B, and C are proper subsets of U and n(U) =…

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Q: 9. Given set A={1,4,5} B={2,4, 8} such that a/b on the set of natural nuber if and only if there is…

A: We can solve this by the definition of relation of given set and given condition

Q: Let S = {a, b,f,g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many…

A: We have to find no. Of subset as per given question.

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”.