Give an example that achieves the following two infinite sets A and B with A C B and A - B.

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

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Q: Consider the following sets: A = {x | x ∈ N and x > 2} B = {x | x > 2} (a) Write a description of…

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Q: 2х-3 > 1 х+1

A: Given,          2x-3x+1≥1

Q: Represent the set using listing method. {x € N, such that a? +7x = 0} O {0, –7} O {0, 7} {0,7} O {0}

A: The given set is x∈N, such that x2+7x=0.

Q: Use graphs to find the set. (-5,0) N[-4,3]

A: Given: The given set is (-5,0)∩[-4,3]

Q: Use graphs to find the set : (-4, 0) ∩ [-2, 1]

A: We graph both intervals together on a number line. Concept used:  ∙ Point included⊙Point excluded…

Q: Come up with an open interval A and closed interval B such that A∪B = (1, 10] and A ∩ B = [4, 5).

A: our aim to find the examples satisfying A - open interval  B- closed interval  such that A∪B = (1,…

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: Write the following intervals in set-builder form :(i) (– 3, 0)…

A: (i) (-3,0) is the set of all real numbers between -3 and 0, but -3 and 0 are not included.…

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

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

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: Identify each set as finite or infinite. Then determine whether 10 is an element of the set.…

A: To identify each set as finite or infinite, then determine whether 10 is an element of the set.…

Q: Find the number of subsets of the given set.

A: Set A = {1,2,3,4,5,6,7,8,9}              The number of elements , n = 9

Q: Let + stand for the symmetric sum of sets, A+ B = (AU B) \ (A n B). Prove or disprove (A+ B)nC =…

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Q: Represent the set using listing method. {x E N, such that x + 6x = 0} None of these {0, -6} O{0}…

A: The given set is     { x ∈ N , such that x2 + 6x = 0} We represent the set into listing method.

Q: true or flase? Every infinite set is unbounded.

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

A: Answer

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: 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: Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).…

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Q: Use any method you choose to shc are sets.

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Q: Prove using the properties of set operations: a. ((AUB)–C)° = (A–C) – (B – C)

A: Solution

Q: Describe the set as a union of finite or infinite intervals { X : I 2x + 4 I > 3}

A: Given set is x:2x+4>3

Q: Use the set notation to write the following: 1. Cis the set whose elements are 5,10 and 15.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Give an example of a set of numbers that is: a. Closed under both addition and multiplication. b.…

A: a. Set of real numbers b. Set of odd natural  numbers c. Set of irrational numbers

Q: Find the interior and boundary of the set: [0, 2] n [2, 4]

A: In the given question we have to find the interior and boundary of the set [0,2]∩[2,4]. Interior…

Q: Define sets A and B as follows: A = {a € Za = B = {b € Z| b = Which statement is true? ACB OBCA OAN…

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Q: Find the number of subsets of the given set. (x|xEN and 7<x<12}

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Q: Use the roster method to write each of the given sets. a. The set of natural numbers less than 5. b.…

A: According to given data natural numbers less than 5 can be write in roster form as below The set of…

Q: Provide examples of sets A and B where strict inequality sup(A+B) < sup A+ sup B holds.

A: We have to given an example to prove given inequality:

Q: Construct the intersection graph of the following collection of sets: A - (0.±2,+4. 16. 18....)

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Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

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Q: Write the set T={ x | x ER, x²=4 or x² = 25} in list form.

A: A set, in its list form, lists all its elements separated by commas within a pair of curly-braces .…

Q: Refer to the accompanying figure, and list the points that belong to each set. (Enter your answer…

A: A = {r, u, v ,y} B = {r, v, w, x} C = {r, u, w, z}

Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: Give an example of a set of numbers that is: a.Closed under both addition and multiplication.…

A: (a) Set X is closed under addition if any two elements x, y in X such that x + y in X  Set X is…

Q: Using Membership table, show that if A and B are sets, А - (А — В) %3DAПB

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Q: Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and…

A: As per out guidelines we can answer only 1 question. Please repost the remaining questions…

Q: Identify all elements of set A = {(-1)"-1/n € N} A={

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Q: In the questions below determine whether the set is finite or infinite. If the set is finite, find…

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Q: Fill in the blank so that the resulting statement is true. The number of subsets of a set with n…

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Q: which method is best to describe an infinite set?

A: The solution is given below

Q: Determine whether each of the following statements is true or false, and explain why.The number of…

A: Let A and B be two non-empty sets. Number of elements in set A = m Number of elements in set B = n…

Q: Refer to the partially ordered set defined on the Hasse diagram below. Fill in the blanks with the…

A: By using definitions of maximal and maximum elements we solve the given problem

Q: Is the set {A, T,1} complete? Support your answer.

A: For a set of operators to be functionally complete, the set can be used to express all possible…

Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

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Q: Show that the set EE is: (ii). Closed iff E¯=E

A: Show that the set E is Closed iff E¯=E

Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Set A contains 7 Consecutive even integers. If the average of set A’s integers is 46, which of the…

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