Let A = {0,{1,2},3}. Make a list of all elements of A and a (separate) list of all the subsets of A.

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: The surface given by Volume area of the cylinderical tank is SA = The cost of steel Given 2пяв+2пяч…

A: From the given information we have to find the minimum cost C. And corresponding radius, height and…

Q: 1. Suppose we would like to define a function f : Q→ Z by the formula f(r) = a +b, where a, b € Z…

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Q: Let A= {1,2,x,y,z}, and B= {1,2,3,z}. How many distinct elements are in (A*B) intersect (B*A

A: Given that A=1,2,x,y,zB=1,2,3,z To find the number of distinct elements in A×B∩B×A:

Q: Let A and B be finite sets with A - B = {a, b, c, d, e, f, g} and An B = {h, i, j, k, l, m}. Find…

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Q: List down the elements of A = = {x|x²<45,x € Z} A) {0, 1, 2, 3, 4, 5, 6} B {-6, -5, -4, -3, -2, -1,…

A: The objective is to list down the elements of A.

Q: Are   any   open   subsets   of   R   sequentially   compact?     Explain   why   or   why not

A: The objective of the question is to determine whether any open subsets of the set of real numbers…

Q: Construct an example of a subset B of P({a, b, c, d}) such that (B, C) is a total ordered set.

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Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: Let X = (1, 2, 3, 4, 5, 6) and let T1= (X, 4, {3}, (1,2,3), (2,3,4), {2}} and T2 = {X, 4, (2),…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find two infinite sets A and B so that A UB, AN B,А — В аnd B — А are all infinite sets. Show the…

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Q: U={1, 2, 3, 4, 5

A: *Note: As per policy only first three parts are answered. Given: U={1, 2, 3, 4, 5, 6}​, A={3, 4,…

Q: Let A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }. Give an example of three sets, A1, A2, and A3, such that…

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Q: Determine if v is in the set spanned by the columns

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Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: Suppose that each of A, B, and C is a set and each of BnC, A–(BnC), A-B, A-C, and (A – B) n (A – C)…

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Q: Show that if S x T is a closed subset of R2, then S and T are closed subsets of R.

A: As per the question we are given two subsets of R i.e. S &amp; T and we know that the set S × T is…

Q: Find all subsets of {{a}, {a,b},{4}}.

A: Topic- Subsets of a set We are given a set a,a,b,∅

Q: Let A = {0, {1, 2}, 3}. Make a list of all elements of A and a (separate) list of all the subsets of…

A: To solve the given question we use the defination of set and find the subset of the given set.

Q: List all subsets of the given set. (α, β, Γ, Δ}

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Q: Use the pigeonhole principle to prove that any 6-element subset of {1,2,..., 10} contains a pair of…

A: This question from discrete mathematics and topic is pigenhole principle.

Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: Determine the orders of the elements of D∞

A: It is known that, D∞=a,b|a2=b2=e also it can be observed that, D∞=abka,abk,bak,bakb Let x∈D∞. If…

Q: let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed. Hint: You might try showing…

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Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: (ANB) –C= (A –C)NB.

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Q: Consider the following set of ordered pairs of the elements of a set A = {1,2, 3, 4} of numbers and…

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Q: Let A = {small, medium, large}, B = {red, black}, and C = {pentagonal, round}. List the elements of…

A: Given : A =small, medium, largeB = red, blackC = pentagonal, round

Q: Construct an example of a subset B of p({a, b, c, d}) such that (B, C) is a totally ordered set.

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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”.