For each of the pairs of sets, determine whether the first is a subset of the second, the second is the subset of the first, or neither is the subset of the other. Enter "first", "second", or "neither". (a) the set of people who speak English, the set of people who speak English with an Australian accent (b) the set of fruits, the set of citrus fruits (c) the set of students studying discrete mathematics, the set of students studying data structures

Q: List All The Subsets Of The Given Set :  {cranberry,orange,grapes}

A: The Given Set is : {cranberry,orange,grapes}

Q: a. If Set A = {x| xeZ and x is five digits and Set B = {x\x is the letters of your first name}. Find…

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Q: Give an example of each of the following or explain why you think such a set could not exist. (i) A…

A: (i). Such a set could not exist. Let  be a nonempty subset of a topological space . Let . If  is not…

Q: Let A and B be two sets with a finite number of elements. Show that the number of elements in An B…

A: Given A and B are two finite sets. To show that the number of elements in A∩B plus the number of…

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: (4) Find the number of subsets for the set {x | x is a season of the year}

A: we have a set A=x|x is a season of the year

Q: Find the number of subsets of the given set x | x Is an even counting number between 7 and 21

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Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: Match the terms 1.a collection of objects with a finite number of objects 2.the set of all…

A: 1.a collection of objects with a finite number of objects 2.the set of all elements considered in a…

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

A:

Q: Which of the following sets are created correctly?s = {1, 3, 4}s = {{1, 2}, {4, 5}}s = {[1, 2], [4,…

A: The elements of the set is written in { } separated by comma. Example: A=a, b, c If there are two…

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: List all the subsets of the given set {cranberry, orange, fig}

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Q: d. What is the cardinality of a countably infinite set?

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Q: Choose the correct option. (a)empty    (b)a singleton      (c)a finite set with more than element…

A: f(x)=2100x+1g(x)=3100x+1

Q: The family of all finite subsets of a countable sets is countable.

A: Countability

Q: Suppose that A = {3, 7,1 6}, B = {3, 16}, C = {7, 16}, and D = {7 ,8, 1 6}. Determine which of…

A: Subset :  A set P is a subset of a set Q if all elements of P are also elements of Q , Q  is then a…

Q: Prove if the following statement is true or disprove if it is false. If A and B are finite sets,…

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Q: A survey of 500 farmers showed that of the​ farmers, 26 grew only​ wheat, 114 grew only​ corn, 93…

A: The following situation can be represented by venn diagram given below: Rectangle(universal set)…

Q: VI. Use the set-builder notation to describe each of the following: 16.(4, 8, 12, 16, 20, ...}…

A: Here we have to use the set-builder notation to describe each of the following:  16)…

Q: Choose the correct Set-builder form for the following set written in Roster form: {-7, –6, – 5, –4,…

A: We have to find correct option.

Q: the set of students at your school who either are not sophomores or are not taking discrete…

A: Given: Suppose that A is the set of sophomores at the school and B is the set of students in…

Q: Which of the following sets is a universal set for the other four sets? O The set of even natural…

A: .

Q: VI.Use the set-builder notation to describe each of the following: 16.{4, 8, 12, 16, 20, ...} 17.{…

A:

Q: For each of these pairs of sets, determine whether the first is a subset of the second, the second…

A: Note:  A set 'A' is said to be subset of set 'B' if all the elements of set 'A' are the elements of…

Q: b. Define the finite and infinite sets in your own words and give example for each set.

A: We use the definition of finite and infinite set to answer the given question.

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

A:

Q: each of these pairs of sets in 1–3 determine whether the first is a subset of the second, the second…

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Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: For each list of categories, draw a Venn diagram that shows the relationships among the categories.…

A: Note: This question contains multiple sub-parts. No specific sub-part has been asked to be answered.…

Q: Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these sets…

A: Given sets are  A = {2, 4, 6}, B = {2, 6},  C = {4, 6}, and D = {4, 6, 8}.  Definition of subset is…

Q: 1. For each of these pairs of sets, determine whether the first is a subset of the second, the…

A: A set A is said to be a subset of another set B if all the elements of set A are also contained in…

Q: Which among the following is NOT a set? * The collection of all the presidential candidates for the…

A: A set is a collection of well defined and distinct objects.

Q: Find the number of proper subsets for the following set: L {x | x is a letter found in the word…

A: We have to find the number of proper subsets.

Q: Identify whether the following are finite or infinite sets. d. The set of regions in the Philippines…

A: The given statements are d. The set of regions in the Philippines e. The set of all odd natural…

Q: For each of these pairs of sets in 1–3 determine whether the first is a subset of the second, the…

A:

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

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: Which of the following collection of objects CANNOT be considered as a well-defined set? A. All…

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Q: Question 3 Use a Venn diagram to determine which relationship, ≤, =, or 2, is true for the pair of…

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

Q: a) the set of sophomores taking discrete mathematics in your school b) the set of sophomores at…

A: Given: It is given that suppose that A is the set of sophomores at your school and B is the set of…

Q: Find the number of proper subsets for the following set: L = {x | x is a letter found in the word…

A:

Q: a. If Set A = {x| xeZ and x is five digits and Set B = {x|x is the letters of your first name}. Find…

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Q: prove that the union of a countable set and an uncountable set is uncountable

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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: Draw a diagram out of these sets

A:

Q: for any sets A and B (AUB)'=A'nB'

A: We prove that for any sets A and B (AUB)'=A'nB'.

Q: The union of the universal set and any of its subset is * none of the choices cannot be determined…

A: our objective is to conclude

Q: A. Identify if the following is FINITE or INFINITE set. 1. The set of positive integers less than…

A: