H={b ∣ b ∈ N and 124 < b ≤ 130 } H= { b ∣ b ∈ ℕ and 124 < b ≤ 130} Use the roster method to list the elements in the set HH.

Q: ​{19, 38, 57, 76, .....} Group of answer choices The set is finite because the number of elements in…

A: Identify the following set as finite or infinite            19, 38, 57, 76,...

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | x is a…

A: We have given that Let, A = {x | x is a digit in the number 264,353}

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

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Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

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Q: Let X = {Ram, Geeta, Akbar} be the set of students of Class XI, who arein school hockey team. Let Y…

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Q: Let the Universal Set, S, have 176 elements. A and B are subsets of S. Set A contains 56 elements…

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Q: 1. Define three different sets using roster notation; refer to them as sets A, B, and C…

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Q: Find the complement of the set given that                                                     U = {x…

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Q: If a set has 8 elements, how many of its subsets have the given   numbers of elements?   (1) at…

A: Given that the total number of elements= 8  So the total number of subsets= 28=256   We can select…

Q: If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements andY has 15 elements ; how…

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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: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: 2. (i) Show that given finitely many countable sets A1, A2, , An, the set A1 x A2 x .. x An is also…

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Q: If a universal set contains 250 elements,

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Q: Prove or disprove: For all sets A, B, we must have 24A2(AAB) = 2B.

A: Given, 2A∆2A∆B

Q: Give an example of a set that contains nine elements of which two are sets. List three Subsets of…

A: Let the set which contains 9 elements be, A=1,2,3,4,5,6,7,8,9

Q: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

Q: 3. Find the number of elements in A, UA,UA, if there are 100 elements in each set if a) the sets are…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: (iii) ((A – B)UC – D) specified using set builder notation without any word -

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Q: (a) Set-builder form: xx is a natural number and 24 <x<28} Roster form: (b) Roster form: {6,7,8,9,…

A: (a) The roster form for the set-builder form is, Roster form:25,26,27 Thus, the roster form is…

Q: Write a sentence of the form “. . ⊆ . . ” involving A, B, and at least two of the operations ∪, ∩,…

A: Given: A and B are any sets. To write: Sentence of the form “. . ⊆ . .” involving A, B, and at least…

Q: Let the Universal Set, S, have 135 elements. A and B are subsets of S. Set A contains 93 elements…

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Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: 16) a. Denote the set using listing method. {x| x is prime number between 30 and 50} b. Denote the…

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: How many elements does the successor of a set with n elements have?

A: Successor of the set, A is formed by adding an element {A} to the set. So, successor of A will be A…

Q: What are the basics of a set?

A: Set:A set is a collection of well-defined distinct objects. Here the objects are known as the…

Q: 1) Use any method(descriptive, roster method and set builder notation) to give three examples of…

A: 1) A=Set of water droplets B=Set of stars in the midnight sky. C=Set of cells in human body

Q: Identify the set shown below as finite or infinite, {10, 11, 12, ..., 40} ..... OInfinite O Finite

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Q: state which of the following sets is finite or null (empty) a) the set of persons who have…

A: By the definition  we know, A finite set is one which has a definite number of elements.  An…

Q: Write the following sets in the set-builder form :(i) (3, 6, 9, 12}     (ii) {2,4,8,16,32}…

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Q: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

A: We are given: X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8 elements We need to find:…

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} 2) (2, 3, 5, 7, 11}…

A: # we are entitled to solve 3 subparts. please resubmit the other parts if you wish to get it…

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

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

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Q: Let A be the set of students in your discrete math class and B is the set of students at Arizona…

A: A) A is the set of students in the discrete math class. B is the set of students at Arizona majoring…

Q: The set of elements that are members of set A or set B or of both sets is called the_____ of sets A…

A: The set of elements that are members of set A or set B or of both sets is called the_____ of sets A…

Q: Use the extension of set-builder notation concepts and the roster method to write the given set. D =…

A: Set- builder form and roster form of the set

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

Q: Which of the following sets are finite and which are infinite ? (i) Set of lines which are parallel…

A: We know that ,  A set is collection of any objects. Finite sets are the sets having  a finite or…

Q: For an element to be in the union of sets A and B, the element must be in set A in set B. but not…

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Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

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Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…

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”.