Which of the following is an example of an empty set? O {x: x€N,4 sx s 5} O The set of odd natural numbers divisible by 3. O The set of odd numbers divisible by 2 O The set of even natural numbers divisible by 5

Q: Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of…

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Q: Which of the following sets are closed under addition? Explain why they are or are not closed. d.…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Ql: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the…

A: NOTE: Hi! Thank you for your question. Since we only answer 1 question in case of multiple…

Q: Which of the following is an example of an infinite set which is bounded and countable? * A.) The…

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Q: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n |n is a…

A: Given that, a set A is defined as: A=n|n is positive integer and 10&lt;n&lt;18 That implies the set…

Q: A {first five even whole numbers} B = {first five positive multiples of 2}

A: In question 1 set A = { first five even whole numbers } i.e. A = { 0, 2, 4, 6, 8 } and set B = {…

Q: Given set C containing the union of positive odd integers and negative even integers. Which of the…

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Q: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n | n is a…

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Q: 1.Which of the following BEST describes the set of whole numbers? a.W = {1, 2, 3, 4, 5... } b.W =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n |n is a…

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Q: Determine if the given number belongs to the set. Natural(N) Whole(W) Integers(1) Numbers Numbers…

A: The above problem is solved.

Q: Which of the following are examples of the null set(i) Set of odd natural numbers divisible by 2(ii)…

A: i) No odd natural number is divisible by 2. For example 1,3,5,7,... none of them are divisible by 2.…

Q: List all the elements of the following sets :(i) A = {x : x is an odd natural number}(ii) C = {x : x…

A: (i) A = {x : x is an odd natural number} = {1,3,5,7,9,11,.....}   (ii) C = {x : x is an integer, x2…

Q: Q2: Suppose A = {Set of natural number less than 9}, B = {Even natural number less than 12 } and C =…

A: A = { Set of natural number less than 9} B = { Even natural number less than 12} C = { Multiples of…

Q: 4. Given the set A={ 4, 6, 8} . Find R2 a. As if (a-b) is odd b. As if (a-b) is even

A: Follow the procedure given below.

Q: 4 Which pair of sets represents one set being a subset of another but is not equ A. N, the set of…

A: Since multiple questions are asked, I am answering the first question

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: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Classify the following as finite or infinite sets {x|x is a whole number less than 50} {x|x…

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Q: Which of the following sets is empty ? * O (x: X = x*2} O (x: x is not equal to x) O (x: x is not…

A: A set is said to be empty if it does not contain any element.

Q: Which of the following is cyclic? Justify. a. The set of positive integers under usual addition b.…

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Q: Consider the following set of numbers: List the numbers in the set that area. natural numbers b.…

A: Consider the given set of numbers -9,-1.3,0,0.3¯,π2,9,10 First write the number as 9=3 then…

Q: Define sets A and B as follows: A = {n €Z|n= 8r - 3 for some integer r} and B = {m €Z|m = 4s + 1 for…

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Q: The least element of a set {n eN:n- k +1 3 ke N} is (} OA 1 OB. 0 OC 2 OD. None of the mentioned:

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Q: 13. The following are empty sets except A. {} B. {x:x € N, x + 999,999 = 999,999} C. {x:x is a whole…

A: Answer (13) We have to check which set is non empty  (A) {}  It is an empty set

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of…

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Q: Which of the following is cyclic? Justify. a. The set of positive integers under usual addition b.…

A: For (e), {6Z, +}, where 6Z is the set of multiples of 6. Notice that &lt;1&gt; can generate the…

Q: Q1: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the…

A: 1. The provided set is: {x:x is an integer, 15≤x≤25}. The given form is set builder form, another…

Q: A combination is a selection of r distinct objects from a. Not above b. n objects O C. r objects d.…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

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Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: Suppose that A, = {-n, -n + 1,..., –1,0,1, ...,n – 1, n} for any natural number n (note that Ao =…

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Q: 1. Which of the following sets are equal? Explain your answer. A = {a, b, c, d} B = {d, e, a, c} C =…

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Q: Which of the following is an empty set? O set of cars with 10 doors OA-(tiger, lion, puma, cheetah,…

A: We have to find empty set from given options.

Q: Enumerate (i.e. list) the members of the following sets: {z ┤|z is odd positive integer and z≤13}…

A: Enumerate i.e list the members of the following sets:1z/z is an odd positive integer and z≤132x/x is…

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: which of the following is true for every n belongs to N (natural number set)? Select one: A. (xy)" =…

A: (xy)n=xnyn is true.

Q: List the elements of the given set that are (a) Natural numbers (b) Integers (c) Rational numbers…

A: Given, -1.5,0,52,7,2.71,-π,3.14,100,-8

Q: Refer to the following sets for Questions 7 and 8. Note: if a set is infinite, and a question…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Which of the following sets are closed under subtraction? O The set of all whole numbers. O {0,1} O…

A: Option B Because if you will take any number between zero and one and you will get the difference…

Q: Which of the following sets are closed under multiplication? 11. (i) X = {1, 2, 3, 4, ..., 30} (ii)…

A: i) If we multiply 30 and 2 from set X, then we get 30*2= 60  This is not in the set. So, X is not…

Q: B. For numbers 7 10, use the set builder notation to represent each given set. 6. The set of natural…

A: To find : 6.Set of natural number less than 7 7. Set of composite number that divisible by 4 less…

Q: List the elements of each set where N= {1,2,3…} a.) A = {x∈ N | 3 < x < 9} b.) B = { x∈ N | x is…

A: Set-builder form The set contains the element that has single property in all Roaster form The set…

Q: Find n(L) for the following set: L = {x | x is a letter found in the word divisibility}. n(L) = Hint

A: Given set  L={x|x is a letter found in the word 'divisibility'} we have to find the number of…

Q: Let A and B be finite sets. (a) Explain why n(ANB) s n(A). (b) Explain why n(A) s n(AUB). (c)…

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Q: 3. Are the following sets equal? A = {x € Z:5 < x < 10} and B = {9,8,7,6}, where Z denotes the set…

A: Given,           A = x ∈ Z: 5≤ x &lt;10 and B = 9, 8, 7, 6

Q: Describe the following sets using Listing method. 1. P= {n | n is a natural number less than 8} 2.…

A: Part (1) - P = n|n is a natural number less than 8Here, n is a natural number which is less than…

Q: Define sets A and B as follows: A = {a € Z| a = 8m - 3 for some integer m} B = {b € Za = 4n + 1 for…

A: Given that A=a∈Z|a=8m-3 for some integer m. B=a∈Z|a=4n+1 for some integer n. let a∈A  therefore…

Q: Let S be the set of numbers of the form { ((-1)^(n + 1)) (n - 1)/(n + 1) } where n is an element of…

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Q: . Are the following sets equal? M = {x ∈ Z+: 5 ≤ x < 10} and N = {9,8,7,6}, where Z+ denotes the set…

A: Given that the sets are M=x∈ℤ:5≤x&lt;10 and N=9,8,7,6. Note that Z+ denotes the set of all positive…