Which of the following sets are closed? Choose ALL that apply. Show the steps. I. The set of negative integers under addition II. The set of negative integers under multiplication III. The set of positive integers under addition IV. The set of integers under division

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

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Q: Rewrite the set O by listing its elements. Make sure to use the appropriate set notation. 0={y|y is…

A: Set O is given by O = y|y is an integer and -5≤y≤-4  To evaluate: The set O with its element.

Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: Given A = {1, 3, 6, 8, 9, 12, 15} and B = {6, 9, 12}, which is TRUE? Choose from the choices below…

A: a) disjoint set: In mathematics, two sets are said to be disjoint sets if they have no element in…

Q: 2х-3 > 1 х+1

A: Given,          2x-3x+1≥1

Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Use set-builder notation to write the following set. {1, 2, 3, 4, 5,   }

A: Set of natural number is defined as:-  N = 1 , 2 , 3 , 4 , 5 , .............

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: 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: Express the set shown below in roster form x|x is an integer between - 8 and - 4) OA. (-7-6,-5) O B.…

A: In roster form, all the elements of a set are listed, the elements are being separated by commas…

Q: Which of the following sets spans R³? O {(-3,0,2).(0,0,0)} O {(-3,0,2),(5,1,0),(0,-1,1)} O None of…

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Q: Determine the mode of the following set of values. (Enter your answers as a comma-separated list. If…

A: Here are two modes of the following set of values.5 and 8 are the modes of the following set of…

Q: Determine whether sets A and B are equal but not equivalent, equivalent but not equal, both equal…

A: Two sets are equal if they have they have exactly the same elements Two sets are equivalent if they…

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

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Q: For the set {a,b,c,d}, list  a) all the arrangements of 2 objects.  b) all the subsets of 2…

A: Given problem Given that   For the set { a, b, c, d }, list  a) all the arrangements of 2 objects…

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

A: x:x is a fraction between 1 and 2

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

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Q: Which of these are sets having the 2nd element as the inverse of the 1st element? A. (D,A) and…

A: Use the definition of identity and inverse element.

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

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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: Given sets A and B, how many constant maps are there from A into B.

A: Given: Set A and B are given the objective is to find the constant maps are there from A into B

Q: List all the sunset of the sets given: (a) A = {8} (b) B = {dog, cat}

A: a) A={8} Here, number of elements in set A is 1. Hence, n=1 The expression to find the number of…

Q: Determine the values of the following set expressions. Ø × {{0}} P({0, {0}}) {0} × {0, {0}} P({{0}})…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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: Verify and explain your answer by showing all steps which of the following is partition of set A =…

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Q: The set of number me between but not including 7 and 8 can be written as follows: in set-builder…

A: The set of numbers between but not including7  and 8 can be written as set ‐builder notation.

Q: Which of the following are minimal elements of the partially ordered set {2, 3, 4, 5, 6, 7, 8, 9, .…

A: Find which are minimal elements of the partial order set 2, 3, 4, 5, 6, 7, 8, 9, … ordered by…

Q: State which group of sets the following number belongs to. Be sure to account for ALL sets. 7…

A: Given Data: Given Number: -67 Natural Number:  All counting numbers are natural numbers. Like 1, 2,…

Q: Use the following sets to define each set below. A = (4, 7, 10, 14, 17, 20) B = (1, 4, 9, 14, 20) C…

A: The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A…

Q: Which of the following sets are equal? A. {2,3} × {3, 4} B. {3, 4} × {2,3} C. {2, 2, 3, 3} × {3, 3,…

A: To choose: The sets which are equal. A. 2,3×3,4 Find the set. 2,3×3,4=2,3,2,4,3,3,3,4 B. 3,4×2,3…

Q: Write the following sets in set-builder notation: (a) {58, 59, 60, · · · } (b) {13, , 14, 15, · · ·…

A: We have to write the notation in set-builder form (a) {58, 59, 60, · · · }(b) {13, , 14, 15, · · · ,…

Q: Determine all numbers n belong to N with the property that the set: A = {n, n + 1, n + 2, n + 3, n +…

A: SOLUTION:

Q: list the elements of each set. For example, the elements of {x|x is a natural number less than 4}…

A: It is given that, y is an integer less than 3.

Q: 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…

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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: 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: Rewrite the set D by listing its elements. Make sure to use the appropriate set notation. D={z \z is…

A: Here the set D is given by D={z | z is an integer and -2&lt;z&lt;2} We need to list the elements of…

Q: List the elements for the given set {x|x is an even natural number from 0 to 10} {x|x is a month…

A: Let x is an even natural number from 0 to 10. The all natural numbers from 0 to 10 are…

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: Use set-builder notation to write the following set {3, 6, 9} O {x | x is a multiple of 3 and 3 < x…

A: Given set is 3,6,9.

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: 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: Which of the following phrases describes an empty set? Common factors of 5 and 9. O Multiples of 2…

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Q: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &amp;, 1•1 = 1

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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