Let ? = {0,1,2,3,4,5,6,7}, ? = {3,4,5}, ? = {0,3,4,7}, ? = {6,7}, find the following sets using the listing method. 1. (? ∪ ? ∪ ?)' 2. B - A

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

A:

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: 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: Consider the following sets: U = {a, b, c, d, e, f,g,h, i,j,k} А %3D (а, b, с, d, e } B = {a,b, c} C…

A:

Q: Given the sets A = {0, 1, 3}, B = {1, 4, 5}, and C = {0, 1, 3, 4, 5}, what is A ∩ B ∩ C?

A:

Q: Consider the following sets: U = {2, 3, 4, 6, 8, 9, 10, 12, 14, %3D 15} |А%3D {3, 6, 9, 12, 15} В…

A:

Q: Indicate whether the following sets are equal. A={x, j, a, w}, D={x, a, b, y}

A: The given two sets are, A=x,j,a,w and D=x,a,b,y By definition, The two sets A and B are equal sets…

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: For A= {2,x,v} B={w,x} C ={1,2,3} U=- C={1,2,3} U = {1,2,3,4, w, x,y,z} answer the following. Use…

A: Solution:-

Q: Which of the following sets are equal? B = {d, e, a, c} A = {a, b, c, d} C = {d, b, a, c} D = {a, a,…

A: The given sets are A = {a, b, c, d}, B = {d, e, a, c} C = {d, b, a, c} and D = {a, a ,d, e, c, e}.It…

Q: Given the following sets, perform the indicated set operations:   U = {0, 1, 2, 3, 4, 5, 6, 7, 8,…

A: Set and operations

Q: C. List the subsets of the following sets: 4. D 5. E

A: Answer 4.  Given set                              D = {1, 2, 3}      Then the subsets of set D are…

Q: A-B

A:

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: Which of the following are disjoint sets?* O D. (1,3,5) and (2,4,6) B. (1,2,3) and (2,3,4) O c.…

A:

Q: Let  A = {1, 2, 3, 4},   B = {3, 4, 5, 6},  and  C = {5, 6, 7, 8}.  Find each of the following…

A:

Q: Which of the following are disjoint sets? O B.(1,2,8) and (2,8,4) O C (1,2,5) and (3,4,5) (1,8,5)…

A: Given the sets:  1,2,3 and 2,3,4 1,2,5 and 3,4,5 1,3,5 and 1,3,6 1,3,5 and 2,4,6 We have to check…

Q: What is the size of the union of the sets A and B, if |A|=|B|=12 and |ATT B|=10?

A: The sets A and B,A=B=12 and A∩B=10

Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in…

A:

Q: Write the following sets using set -builder form: a. A = {5, 9, 13, 17}

A:

Q: Decide, among the following sets are subsets of one and another: A=(x xeRand x satisfy x² - 4x + 3 =…

A: Given sets, A=x: x∈R  and  x satisfy x2-4x+3=0B=1, 3C=1,3,5D=4,5,6

Q: List the elements of the given set. the sets (A N B) UC and A N (BU C), where A = {1, 2, 3, 4}, B =…

A: use operation of sets to find the desired results

Q: Which of the following are disjoint sets?* B.(1,2,3) and (2,3,4) O (1,2,5) and (3,4,5) O (1,3,5) and…

A: Topic:- set theory If the two sets A and B are disjoint then they have no elements in common that is…

Q: Explain the difference between set A and set B

A:

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: Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

A: Let A = {2, 3, 4} and |A|= 3 and B = {2, 4, 6, 8} and |B|= 4 The union of set A and B is the set of…

Q: Use the given sets to find A n B. A = {5, 6, 7, 8, 9, 10, 11, 12, 13} B = {2, 4, 6, 8, 10, 12}

A: Given,          A= 5,6,7,8,9,10,11,12,13           B= 2,4,6,8,10,12 We know that,         A ∩ B…

Q: Let U = {0,1,2,3,4,5,6,7}, A = {3,4,5}, B = {0,3,4,7}, C = {6,7}, find the following sets using the…

A:

Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

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: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Write the resulting set using the listing method. A. {1,2,3,5,8,13} {2,3,5, 7,11,13,17} B. {2,4,6,…

A:

Q: Given the following sets are:        A = { 0, 2, 4, 6, 8, 10 } B = { 0, 1, 2, 3, 4, 5, 6 } C = {…

A:

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: Which phrase (if any) states the condition in this statement: How many different arrangements of…

A:

Q: IV. Using the Rule Method and the Set builder notation to describe each of the following sets whose…

A: 1. The given set is D=Rudy, crocodile, π. Then by rule method it can be written as D=x| x is a name.…

Q: Use the set builder notation in describing the given set. 7. {5, 10, 15} 8. {1, 4, 9, 16, 25, 36,…

A: 7. Given set: S1=5, 10, 15  ……1

Q: Given the following sets, perform the indicated set operations: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

A:

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

A:

Q: Given the sets A=[3,4,5,6,7,8,9,10,11], B=[1,2,3,4,5,6], and C=[2,5,7,8,9] find the following  A) A…

A:

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

A:

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Find the union and intersection as indicated, given the following set: A={0,4,8,12},…

A:

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 &, 1•1 = 1

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”.