16) a. Denote the set using listing method. {x| x is prime number between 30 and 50} b. Denote the set in set-builder form. {9, 16, . .64} ...... ...

Q: 2. Find sets A, B, C, D such that the sets (AN B)U (C\ D), ((An B) U C) \ D, An(BUC) \ D, An(BU(C\…

A:

Q: Consider two sets in ℝ² with the usual topology. Is the closure of a path-connected set also…

A: We will use knowledge of general topology to solve both the parts of this question. For the first,…

Q: Express the following set in set-builder notation. B= {14, 15, 16, 17, 18, 19, 20, 21} Choose the…

A:

Q: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

Q: What is meant by Intersection of sets?

A: Let A and B be the two sets. Then the set of all common elements of A and B is called the…

Q: A standard deck of cards contains 4 kings, one each from each of the 4 suits. If this relationship…

A: Intersecting Sets because each set would have one member who is also a member of the other set.

Q: 5. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of…

A: Venn diagram

Q: d. What is the cardinality of a countably infinite set?

A:

Q: Let Aand B be non-empty sets such that |A|>|B|.If the number of elements in A∪Bis atmost 42 and at…

A: Let the number of elements in A is a , hence, |A|=a . Let the number of elements in B is b , hence,…

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

Q: A survey of 500 farmers showed that of the​ farmers, 26 grew only​ wheat, 114 grew only​ corn, 93…

A: The following situation can be represented by venn diagram given below: Rectangle(universal set)…

Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: 10. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: Let A, B, and C be finite sets, with ACBC C and n(B) = 7. (a) What are the possible values of n(A)?…

A: Given:  A, B, and C are finite sets. A ⊂ B ⊆ C and n(B) = 7. Subset and subset notations: A subset…

Q: Consider the following sets, with U=N: that is, the universal set is the set of natural numbers and…

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

Q: Use the method of intersection of sets to compute the following. (a) GCD(12,16,8) and LCM(12,16,8)…

A:

Q: Let A be the set of students in your math class, and B is the set of students at Indiana State…

A:

Q: Use the following information to answer question 6. 16 19 The number of elements in the unversal set…

A:

Q: (4) Prove by contradiction, for any sets A and B, if ACA- B, then An B= Ø

A:

Q: _1. It is a pictorial representation of the relationships between sets wherein the sets are…

A: Since you have posted multiple questions. We will solve first question. If you want the other…

Q: b. Define the finite and infinite sets in your own words and give example for each set.

A: We use the definition of finite and infinite set to answer the given question.

Q: Using equality of sets, prove that (?∩?)′ = ?′ ∪?′

A:

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: Use a membership table to determine if AUBUC = Ã U BU Č, when A, B, and C are sets.

A: The given relation is A∪B∪C=A∪B∪C

Q: in a venn diagram with two overlapping sets there are

A: Let define the two events A and B.

Q: 19. If A={People who live in Colorado} B={People who live in Denver}, draw a Venn diagram relating…

A:

Q: Use the element method for proving a set equals the empty set to prove that: For any A, B sets, (An…

A: Since you have post multiple question I only solve first one.

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

A:

Q: Use the Venn diagram pictured with A representing the people in an arts class and B representing the…

A: Solve the given

Q: Let A, B and C be any three sets. Then Ax (BUC)=

A: Given that A, B and C are three sets. We need to find A×{B ∪ C}.

Q: When using Venn diagrams to verify or determine whether set statements are equal we use…

A: Deductive reasoning, also deductive logic, is the process of reasoning from one or more statements…

Q: Given set A with 17 elements and set B with 7 elements. a. What is the maximum number of elements in…

A: Given set A with 17 elements and set B with 7 elements. If all the elements of set A and set B are…

Q: How to Apply the Archimedes'principle to prove that a set is empty

A: Consider the given information. the Archimedes' principle is defined as, Property states that for…

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

A:

Q: Use a Venn diagram to determine if the pair of sets are equal. S. S'nT and (SUT')' II III IV

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Let A be the set of students in your discrete math class and B is the set of students at Arizona…

A: A) A is the set of students in the discrete math class. B is the set of students at Arizona majoring…

Q: 23 In a plane of 160 passengers, the airline has provided 48 meals of chicken rice, 78 meals of…

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

Q: is the set [5,100] compact?

A: Given that:A set is S=5,100.We have to check whether a set 5,100 is compact or not?

Q: 4.3 Give an example to show that the arbitrary intersection of open sets is not an open set.

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

Q: The Venn diagram shows the universal set č, set P, set Q and set R. Given n(Q) determine n(3). n(P U…

A: Given

Q: Show that if A and B are finite sets, then A ∪ B is a finite set.

A:

Q: Prove that if A ~ B then P(A) ~ P(B).

A: Consider the provided question,

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} = %3D 2) {2, 3, 5,…

A: Set builder notation consists of { Type of element | Rule defined} Hence 1) {2,4,6,8,10} {x | 2≤x≤10…

Q: 2. Draw a Venn diagram for the set AU(BnC).

A: We first draw U, A, B, C

Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

A:

Q: Use the following information to answer question 5. 16 19 The number of elements in the unversal set…

A: Venn diagram is used to pictorial representation of two or more set. It helps to understand the…

Q: Express the following set in set builder notation.  B={15,16,17,18,19,20,21,22}

A:

Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…