I. Given the following information: A = {x|x is 0} B = {x|x is a set of even numbers) C= {x|x is a set of odd numbers) D = {xlx is a set of positive integers} E = {x|x is a set of whole numbers) Determine the following sets: 1. AUB 3. D~I 5. F' 7. D~C 9. En(HUN) F= (xix is a set of positive rational numbers} G= {xix is a set of positive irrational numbers) H = {xx is a set of prime numbers) 1 = {xx is a set of composite numbers} U = {xix is a set of positive real numbers}

Q: Are the sets equal? A={17,18,18,19,19,19,20,20,20,20} B={20,19,18,17} Yes No

A: Given SetsA={17,18,18,19,19,19,20,20,20,20} andB={20,19,18,17}

Q: 7. i) How many functions are there from the set {1, 2, 3, ...,k} where k is a positive integer, to…

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Q: Express the following sets in the simplest way possible. If needed, use 'set builder notations'. Do…

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Q: Ix-51>7* O x>7, x 12, x 12 No Solotion

A: We have to solve the inequality

Q: Let U = (-∞, x), A = [-1,6], B = [-6,2). In interval notation, determine AN B. Let U = (-0, 00), A =…

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Q: U = { all real numbers} A = { 10, 11, 12, 13, 14, ...} B = {-3, -2, -1, 0, 1, 2, 3} C = {-1, -2,…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: Consider the following subsets in the universal set U = {natural numbers from 1 to 10} X= {factors…

A: Solution-: Given: U={Natural numbers from 1 to 10}            X={Factors of 16}, Y={Factors of 8}…

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: (Q × {-n, n})U{-3n, –2n}UZ is O a countable set an empty set an uncountable set

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Q: Let S be the set of all real numbers except -1. Define * on S by a*b = a + b + a b. The solution of…

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Q: 5. Let a be a real number, c an integer, c > 0. Prove that

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: Let a > 0 be a real number and I = [" LL* rdzdrd0. Then I = 2па 4па па None of these

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Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: Ex. 3: Evaluate, without using a calculator. a) 164 b) (-64) 3 c) 362 49 2 d) 25 e) 125 3 f) (-32) )…

A: Given

Q: 16. For any two integers a and b, (a + b)² = a² + b² FALSE; Gir

A: First, let's understand the equation. The equation given is (a + b)² = a² + b². This equation is a…

Q: 6 - 7- E= {x|x F = {x|x is G = {X/X {시 the whose name is Country American Continent. is the one of…

A: Using set theory concept.

Q: The location of the letter F shows that F represents an object that is Нарру Bulls F in the happy…

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Q: numbers

A: We have to choose the correct option according to the given information

Q: 2. Which of the following sets does not contain any inrational numbers? a. (-5.12, 1, 30) c.(, VT00,…

A: The sets are, -5.12, π, 30 92, 100, 5.123 80, 100, 6.56 5.123....,12, -65

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Denote by mZ the set of all integer multiples of an integer m. More explicitly, тZ 3 {..., -Зт, -…

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Q: Define the following sets: A=(1,3,7,9,10) 6-(2.5.7.8.9.10) C = (0,1.3.10) D=(2,4,6,8,10) E=xxis a…

A: Natural numbers do not include negative numbers.

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let R be the set of all real numbers and let a, b eR Ə a> 0 and b > 0. Which of the folbwing is/are…

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

Q: 1. Which of the following represents all real numbers greater than -4 but not more than 8. A) [-4,8)…

A: 1)

Q: 8. Let A {1,2,3,4) and B (0, 1. Find 4x B, Bx A, Ax 4, Bx B and indicate the number of elements that…

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Q: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

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Q: 5. Let x and y be irrational numbers such that x-y is also irrational. Define sets A and B by A = {x…

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Q: Which of the following sets consists of rational numbers only? Select one: 41 -6.3, , 7 2 3 2, 0.81,…

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Q: Consider the following families of sets indexed by the set of natural numbers. i which among these…

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