Determine whether each of the following statements is true or false, and explain why.The number of elements in the union of two sets can be found by adding the number of elements in each set.

Q: Write the following sets using set -builder form: A = {5, 9, 13, 17} B = {1/65, 1/50, 1/37, 1/26,…

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Q: The set having elements of the complement of the set A will be,

A: We need to find out complement of A.

Q: Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in…

A: i) X, the set of letters in “ALLOY”. So, X={A,L,O,Y} B, the set of letters in “LOYAL”. so,…

Q: Evaluate the following set operations: {∅,{∅}} ∪ {∅}{∅,{∅}} ∪ {∅} {∅,{∅}} ∩ {∅}

A: a. {∅,{∅}}∪{∅}{∅,{∅}}∪{∅}b. {∅,{∅}}∩{∅}

Q: Express the following set in set-builder notation. B= {14, 15, 16, 17, 18, 19, 20, 21} Choose the…

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Q: State whether or not each of the following sets is closed under the operations of addition and…

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Q: Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c} to…

A: 1). A set ∅ is known as an Empty Set (i.e., a set having no elements). Here P({∅}) is the power set…

Q: Use set notation, and list all the elements of each set. 8,9,10, \ldots, 17\}

A: 8, 9, 10, ......., 17.

Q: S1 1 1 (1'2'3'4'5 1 (c) K = {;; 6.

A: Given,     K={11,12,13,14,15,16}

Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

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Q: Define E to be the empty set and further define F = {E}, G = {F}, H = {E, F}, and I = {E, F, G,H}.…

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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: If a universal set contains 250 elements,

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Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: (X∩Y') ∪ (X∩Y)=(X∩Y') ∪ X ∩ (X∩Y') ∪ Y  distributive property, A∪(B∩C)=A∪B∩(A∪C)=X∩ (X∩Y') ∪ Y…

Q: Given that set A has 41 elements and set B has 22 elements, determine each of the following. (a) The…

A: Set A : 41 elements  Set B : 22 elements

Q: A-B

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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: simplify each of the following sets and state whether the set is finite, countably infinite or…

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Q: Put the following into the set builder notation:  {2, 4, 6, 8, 10} {2, 3, 5, 7, 11}  {1, 4, 9, 16,…

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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: Use set notation, and list all the elements of each set. \{17,22,27, \ldots, 47\}

A: 17, 22, 27, ......., 47.

Q: Determine n(U), the number of elements in the universal set, given n(X) = 47 and n(X′) = 156.

A: Note : {X, X'} forms a partition of U. i.e. X & X' are disjoint and their union is the universal…

Q: . If each element of a set A is also an element of a set B, we say that A is a_____ of B and write A…

A: A set is a collection of objects such that no object can be repeated. Two sets can be compared to…

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

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

A: Here D=3x2-2 and x∈ℕ,x<5, that is x takes the values 1,2,3,4.

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

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Q: If X and Y are two sets such that           n ( X ) = 17, n ( Y ) = 23 and                    n ( X…

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

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Q: Write the following sets using set-builder notation: The set of all odd whole numbers greater than…

A: The objective is to write the set of all odd whole numbers greater than 5 in set builder form.

Q: Write out the following sets by listing their elements between braces.

A: Given data:   d) The given first set is: Ø=({1,2}). The given second set is: Ø=({a,b}).     The…

Q: Write the following sets using set -builder form: а. А%3D {2, 5, 8, 11, 14} b. В% {1,5, 10, 17, 26}…

A: A={2,5,8,11,14} the numbers are natural numbers the numbers in A are increasing by 3 x=first term…

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

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Q: What is the complement of the set X? How is it denoted?

A: Universal set is always given to find complement of a set. Complement of a set 'X': It includes…

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: 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: 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: {m eN:4| m}

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Q: The set of numbers between but not including 1 and 6 can be written as follows: in set-builder…

A: topic- sets

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: Find the complement of the set.{x∣x is a whole number less than 6} if U is the set of all whole…

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Q: Write the following set using set-builder notation:  {- 6, -7, -8, . . .}

A: Answer and explanation is given below.. Z= sets of integers

Q: Which of the following diagram represent of the set notation A U (Bn C)? a. с. b. d.

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Q: Are the following pair of sets equal? Justify your answer? A = { x:x is a letter in the word FOLLOW}…

A: Set: A set is a well-defined collection of distinct objects. Equality of Sets: If two sets A and B…

Q: Let A, B, C be sets. Simplify (A∪(B∩C))∪((Bc ∩Cc)∪C)c

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Q: Determine whether each of the following statements is true or false, and explain why.A set is a…

A: A set A is subset of another set B if all elements of the set A are elements of the set B.

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”.