1. Let n E N. Prove the following is true,

Q: 1. Let A = {1, 3, 12, 35}, B = {3, 7, 12, 20), and C = {x | x is a prime number}. List the elements…

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Q: what is the fuzzy subset ? And give examples

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Q: Write a set using roster notation the set of the letters in the word indistinguishability

A: According to the given information it is required to write a set using roster notation the set of…

Q: Find the sets A and B if A - B = {1, 5, 7, 8}, B - A = {2, 10}, and A N B = {3, 6, 9}.

A: We will find the sets A and B using the formula of set theory, which satisfy the given condition.

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

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Q: A ∪ B ∪ C={1,2,3,4,5} and  A ∩ B ∩  C={}.

A: A,B,C  are sets that  A∪B∪C={1,2,3,4,5} and A∩B∩C={}

Q: bag contains three red marbles, one green one, one lavender one, three yellows, and two orange…

A: given data, a beg contains3- red marbles 1- green 1- lovender3- yellows2- orange 10- total marbles

Q: How many subsets does a set with 6 elements have?

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Q: Fill in the Venn diagram with the appropriate numbers based on the following information. n(BNC) =…

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine which of the given statements is true about the sets…

Q: What is the domination set , know it and give it examples

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Q: Are there sets A and B such that |A| = |B|, |AUB| = 10, and |AnB| = 5? Explain.

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

Q: find a way to partition N into not two but infinitely many subsets with each subset containing…

A: All the natural numbers can be written in prime factorization form. The natural numbers are the set…

Q: 4. Find the power set of the following set: {1,2,0}

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Q: True or False For sets A and B, if AcB, then An B = A O True O False

A: Given A ⊂ B

Q: Evaluate the following integral Sp x dA, x²y² + 1 I over the given region R: R:0≤x≤√3, 0sy≤1

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Q: 5. If A is a set with 5 elements, how many elements are in P(A), the power set of A.

A: The given problem is to find that how many elements are there in power set of A, P(A) Given A is the…

Q: What properties in Abstract Algebra are true if a set is a subset of a different set?

A: The question is asking about the properties in abstract algebra that hold true when a set is a…

Q: -3

A: Given information: x/x≤4∪x/x≤-3 where The symbol  '|' placed between 2 x's stands for such that.

Q: 3) Determine if the proposition "Every set is an element of its power set" is true or false, and…

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Q: Difference of Sets-the difference of sets A and B or A-B is the set of all elements that belong to A…

A: A-B is the set of all elements that belong to A but not in B. A-B={0,3}

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: List the elements of the set. (Enter your answers as a comma-separated list. Enter your answers…

A: Concept: if we want to list all the element of set, then in Roster(or listing) form we cannot repeat…

Q: 10 Different People order 3 donuts each, chosen from 5 types of donuts. At least one person chooses…

A: (a) Thee will be 10 different possibilities for number of person to pick all 3 donuts of the first…

Q: Which among the following statements is (are) true? O There is a finite set with exactly 90 subsets…

A: In general, if you have n elements in your set, then there are exactly 2n subsets and         (2n −…

Q: ØE A for every set A.

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Q: The notions of decidability and effective enumerability are applicable not only to sets of…

A: To prove the statement, we need to show both directions of the "if and only if" statement: 1. If set…

Q: Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that…

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Q: A set A has 7 elements. Is it a powerset of another set? That is, is there a set B such that A = 2B?…

A: A set A has 7 elements. It cannot be a power set of another set. Since the cardinality of the power…

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

Q: (DO NOT use any other symbol except numbers in the answer slot ) Three Baltic countries(Lithuania,…

A: It is given that there are 11 countries separated as 3 groups as Baltic countries (Lithuania,…

Q: 2. Determine if the following statements are true or false. Here A represents any set. (a) ¢ C A (b)…

A: Used simple logic to prove.