Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} = %3D 2) {2, 3, 5, 7, 11} = 3) {January, June, July} = %3D 4) {a, e, i, o, u} 5) {Tuesday, Thursday} = 6) (1,4, 9, 16, 25} = 7) (5, 10, 15, 20, 25, 30} =

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Definition used-               If  U is a universal set and A is a set inside it the complement of…

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

A: We need to find out complement of A.

Q: Why the following figure is not a Venn Diagram for 4 sets?

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Q: Show that the set S = {(1, 2, 3), (0, 1, 2), (−2, 0, 1)} spans R3.

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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: For the universal set U=(0, 1, 2, 3, 4, 5, 6, 7} and the sets A={1,5}, B=[1, 2, 3, 4} and C=(4, 6),…

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Q: Explain the main difference between Julia set and a Mandelbrot set.

A: We know that, For a complex numbers c, Both Julia set and Mandelbrot set of c is the set of all z…

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: 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: TION 4 If A, B, C be three sets such that Au B = AUC and ANB = ANC, then : O B = C O A = C O A = B =…

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Q: Let S be the universal set, where: S = {1, 2, 3, .., 23, 24, 25} >....

A: Given…

Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: A standard deck of cards contains 4 kings, one each from each of the 4 suits. If this relationship…

A: Intersecting Sets because each set would have one member who is also a member of the other set.

Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

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Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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Q: Which of the following is the correct representation of A = (2,4,8,16,32,. } in set builder…

A: A detailed solution is given below

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

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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: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

Q: Given that U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}, list…

A: Given, U=1,2,3,4,5,6,7  A=1,2,3,4  B=1,2,5,6 C=3,5,7  We have list all of the members of the set ( A…

Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8} Y={1,4, 6}…

A: Given U=1 , 2 , 3 , 4 , 4,  5 , 6 , 7 , 8  Y=1, 4 , 6Z=2 , 4 , 5 , 6clearly Y∩Z=  4

Q: Write the given sets in set builder from  a. {1,2,3,6,9,18} ?!

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

A: given sets are A =2,4,6 B = {2,6} C = {6,8} D = {4,6,8}

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(A…

Q: A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2…

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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: What is meant by Union of sets?

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Q: Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of thefollowing may be…

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

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Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

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Q: Construct a Venn diagram illustrating the given sets. A = {4,5,6,7,8,9} B = {3,4,5,6,10} C =…

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Q: Draw the Hasse diagram of the given set of A = ({3, 4, 12, 24, 48, 72},/)

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Q: What are the elements of the following (admittedly peculiar) set: {Alice, {1}}?  

A: Given: A set Alice, 1. To find: The elements of the given set.

Q: Consider the following two sets, A = { 1, 2, 3 } B= {a, b, c } What is Ax B? {(1, a), ( 1, b ), (1,…

A: Given that  A{1,2,3} B={a,b,c) To find A*B

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

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Q: . Write the following set in set builder notation: R [2, 7)

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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 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: Express the following set in set-builder notation. B=(13, 14, 15, 16, 17, 18, 19, 20)

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Q: {(x,a), (x,b), (x,c), (y,a), (y,b),(y,c)} is the Cartesian product AXB of two sets given as

A: Given,          x,a,x,b,x,c,y,a,y,b,y,c is the Cartesian product of A×B.

Q: Determine how many one-to-one correspondences are possible between two sets, {p, s, z, w, v} and {1,…

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Q: Consider a set S = {A, B, a, b, c, d, 1, 2, 3, 4}.

A: As per guidelines, the handwritten answers are not acceptable. So, we will provide only typed…

Q: Create a Venn Diagram to represent the sets A = {b, c, d, e} and B = {a, b, f, g}.

A: The given sets are:

Q: The symmetric difference of two sets A O B is the set of elements that are in either the set A, or…

A: The aim is to show that, A⊕(B⊕C)=(A⊕B)⊕C It is known that, A⊕B=A∪B-A∩B So A⊕(B⊕C) can be written as,…

Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: Express the following set in set builder notation.  B={15,16,17,18,19,20,21,22}

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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”.