Explain and give a simple example that shows that the intersection operation on sets is symmetrical.

Q: Write the following sets using set -builder form: A = {5, 9, 13, 17} B = {1/65, 1/50, 1/37, 1/26,…

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Q: Identify the set expression modeled by the attached Venn Diagram. Simplify the expression using…

A: According to Demorgan’s rule,

Q: What can you say about the sets A and B if we know that A (symmetric difference) B =A ? Prove your…

A: Given  A△B=A A∆B=(A∪B)-(A∩B)

Q: 3.5 Can two disjoint sets be close? Justify your answer using an example.

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Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: Vrite the set in set-builder notation and roster or listing method. . The set of odd number from 1…

A: Both the notations are given below

Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Explain the following terms (you may use your answers from the questions below to help illustrate):…

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Q: Use set-builder notation to write the following set. {1, 2, 3, 4, 5,   }

A: Set of natural number is defined as:-  N = 1 , 2 , 3 , 4 , 5 , .............

Q: An ice cream shop provides the following types of add-ons: hot fudge, caramel, cherry, Reddi-whip,…

A: Consider the  add-ons ice-cream shop provides: Hot fudge,caramel,cherry,redid-whip,chopped…

Q: What best describes W = {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}? O Set of even integers O Set…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Which concept from set theory is analogous to the disjunction? Union Complement Intersection…

A: Given:     Concept of set theory which is analogs to disjunction.

Q: Prove using the properties of set operations: a. If A and B are sets then [(A - B)c n A] C B

A: The given expression is A-BC∩A⊂B, where A and B are sets.

Q: Write a description of the set : (5, 7, 9, 11, ..)

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Q: 5. Write the following sets using set -builder form: А - (5, 9, 13, 17) b. В-(1/65, 1/50, 1/37,…

A: 5. a. Consider the set A=5,9,13,17. The elements of the above set are obtained as follows. The 1st…

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 set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: What can be understood from the term Complement of a Set? Give example.

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Q: given a = {3, 5, 7, 9, 11} and b = {2, 3, 4, 5, 6, 7}, find the intersection of set a and set b.

A: Given:-   a =  3 , 5 , 7 , 9 , 11   b =  2 , 3 , 4 , 5 , 6 ,7

Q: you were introduced to the set operations of "union", "intersection" and "complement." Do you see a…

A: To explain the similariites between the opreations in set theory , logic and electronic circuits

Q: 6 All open sets are bounded.

A: Some times true

Q: Describe the set ?={?:|?^2−5|>6} as a union of finite or infinite intervals.

A: The given set is A = {x: |x2–5|>6}. Apply the absolute rule on the condition as follows.

Q: Is the set closed under addition? If not, explain why. {2, 4, 6, 8, ...}  a) Yes, this set is…

A: The set is closed under addition if the sum of any two elements is always in the set.

Q: How do you identify sets

A: The objective is to write how to identify sets.

Q: Fill in the blank ? The set {….., -4, -3, -2, -1, 0, 1, 2, 3, 4, …...} is called the set of ………….?

A: Given set is .....,-4,-3,-2,-1,0,1,2,3,4..... Given numbers in set is integers. The set of…

Q: (c) Find (A - B) - C and A (B - C). (Enter your answer in set-roster notation.) (А - в) — с : А - (В…

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Q: (c).Give an example to show arbitrary union of open sets is again open. Is the result true for…

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Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: Write the set A = {..., -5, -3, -1, 1, 3, 5, 7,...} in Set-builder notation

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Q: True or False a null set is an element of (-2,-1,1,4)

A: The given set is  (-2,-1,1,4)  Null set is not the element of every set. It is the subset of every…

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: Write a verbal description of the set {a, i, e,o, u}

A: According to the provided information, a set is given, set = {a, i, e,o, u}

Q: What is set-builder notation? Give an example.

A: To write: What is set - builder notation. And to give an example of an set - builder notation.

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: To prove:X∩Y'∪X∩Y~X The laws to be used are: A∪A∩B=A,A∩A∪B=A A∪B∩C=A∪B∩A∪C A∪A'=S A∩S=A

Q: -5 -4 -3 -2 -1 0 1 2 4 or -5 4 -3 -2 -1 0 1 2 3 45 Answer (b): number line, write the set in…

A: A detailed solution is given below.

Q: Write the following sets using set -builder form: а. А%3D {2, 5, 8, 11, 14} b. В% {1,5, 10, 17, 26}…

A: A={2,5,8,11,14} the numbers are natural numbers the numbers in A are increasing by 3 x=first term…

Q: ercept. Write your answer as an ordered pair. If there isn't any

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Q: Prove that the smallest member of a set, if exits, is the greatest upper bound of the set, clear…

A: Note*  We consider Greatest Lower Bound

Q: Write a verbal description of the set {3, 6, 9}

A: We have given a set   {3, 6, 9}. We have to write a verbal description of the given set.

Q: 3. Consider the drawing below: A Write a paragraph that explains why the following proposition is…

A: Consider the given figure: ABCD is a quadrilateralABC and BCD are triangles   To prove below…

Q: Write a set-builder notation for T = {algebra, trigonometry, geometry, statistics}

A: Given, A set  T = {algebra, trigonometry, geometry, statistics} We have to write a set-builder…

Q: 2 3 4 5 Write the set in the set-builder form.

A: Given

Q: IV. Using the Rule Method and the Set builder notation to describe each of the following sets whose…

A: 1. The given set is D=Rudy, crocodile, π. Then by rule method it can be written as D=x| x is a name.…

Q: Write a description of the set (6, 7, 8, 9)

A: Consider the given set as A=6, 7, 8, 9. Natural numbers set is a set with which you should be…

Q: Find AnB, the intersection of sets A and B. A={x: x is a natural number less than 4} B = {3, 4, 5,…

A: Intersection of sets: It is the set of all those elements of the sets A and B which belong to both…

Q: Explain and give a simple example that shows that the difference operation on sets is not…

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Q: Which method is best used to describe an infinite set? (Roster Method or Rule Method)

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Q: Write {2, 4, 6, 8} in set-builder notation.

A: Solution