Find the sets A and B if A − B = {1, 4, 7, 11}, B − A ={2, 20}, and A ∩ B = {3, 5 ,19}

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: Set B = {a,b,c,d} and Set C = {b,d,f,g}.Find B ∩ C

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Q: Consider the sets A={0,1,2,3,4,5,6,7,8,9), B={1,4,6,7,10,14}, C={3,5,6,7,9}, D={0,2,4,6,8). Find the…

A: Here we have to find following expression using sets A, B, C, D where U represents union of  two…

Q: For sets A and B, define the symmetric difference of A andB by ΑΔΒ (Α-Β) υ (B-). %3D Define A =…

A: We have to find the number of elements in the required set.

Q: For the given sets A and B, find A∩ B, A∪ B, and Ac (the complement of A). A and B are subsets of…

A: We need to find A Intersection B                               A union B…

Q: Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? A B y 11:5 10/ .....…

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Q: Let The set U={1,2,3,4,5,6}, the set A={1,2,3}, and the set B={2,3,5}. Write down the numbers that…

A: Note: According to the guidelines of Bartleby, we will only solve first three parts for you. Kindly…

Q: Find the complement of the set given that                                                     U = {x…

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Q: If set A={1,3,5,7,…}, then match each set of numbers with the term that best describes its…

A: Given A={1,3,5,7,...}

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: Which of the following two sets are equal? Select one: a. None of them b. A = {1, 2, 3,3,{}} and B =…

A: Solution:  Defination of equal sets: If two sets A and B are said  to be equal if the number of…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {1, 3, 5, 7, 9), B = {2, 4, 6, 8, 10), and C = {1, 2,…

A: If U be the universal set and A, B, C be subset of U Then  The Union (or join) of the subsets A and…

Q: Given A = {2, 3, 4 , 5} and B = {4 , 16 , 23}, a ∈ A, b ∈ B, find the set of ordered pairs such that…

A: Here given that                           A={2, 3, 4, 5}                            B={4, 16, 23} We…

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: Given w= (-3, 11), s=(-4, – 5), and r= s= (-4, - 5), and r= (4, 9), find 3r- (w+s). 3r-(w+s) = (|

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Q: Find a one-to-one correspondence between the following pairs of sets. a A = {a, b, c} and B= {1, 2,…

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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 set A = {1, 3, 4, 5, 7}; set B = {2, 6, 8, 10} and set C = {5, 7, 8, 9}. Find the union of set…

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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…

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Q: Determine whether each of the following  statements are True or False and why:…

A: 1) False. A set A is a subset of a set B if and only if every element in A is in B.For any sets A…

Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (4- B)U(B –…

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Q: If A and B are sets; Ac and Bc denote the complements of the sets A and B, then set  (A - B) U (B -…

A: (A—B) refers to the set contains all the elements in set A but not in set B (B—A) refers to the set…

Q: Given the relations on the set of real numbers, R, = {(a,b) e R², a > b}, R2 = {(a, b) E R2, a > b},…

A: Given the relations on the set of real numbersR1=a,b∈ℝ2, a>bR2=a,b∈ℝ2, a≥bR3=a,b∈ℝ2, a<b

Q: Determine whether the following sets are equivalent, equal, or disjoint sets.  1.) B = {red,…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {1, 2, 4, 5}, C = {1, 5} Find each of the…

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Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Determine if each statement is true or false. 1. If A not equal to B then A ∩ B = empty set. 2. If…

A: we will be using basic set theory to answer these questions

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 A = {a,b,c,d,e} and let B= {1,2}. Determine n(AxB). n(AxB) =

A: SOLUTION-

Q: Given set A = {-10, -5, 0, 5} and set B = {-2, -1,0, 1, 2, 3,4, 5}. What is A U B? {-10,-5,-2, -1…

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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: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A: Given A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8}.

Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

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Q: For all sets A and B, ifA-B=0, then A = B.

A: For all sets A and B, if A-B=∅, then A=B.

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: If A and B are two sets, and A x B consists of 6 elements: If three elements of A x B are (2, 5),…

A: Given A cross B = (2,5),(3,7),(4,7)

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…

Q: 23. For sets A and B, if A C B, then B° C A°. F 24. For sets A and B, (A U B)°= A°UB°.

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Q: How many ordered pairs (A, B), where A, B are subsets of {1,2,3,4,5} have: 1. A  ∩ ? = ∅ 2. A U B…

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Q: Which of the following statements is true OA For all sets A, B and C. if AUC=BUC then A =B. O B. For…

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Q: If S = {0,1,2,3,4,5, 6, 7,8, 9, 10,11,12} and A = {0,2,4,6,8,10,12}, B = {1,3,5,7,9,11}, C = {2,3…

A: Given information:…

Q: Set A={1, 2, 3, 4, 5) and set B={Ford, Chevy, Toyota, Kia, Honda). Are sets A and B equivalent?…

A: Two sets are equivalent if they have same number of elements(members). So answer is option A

Q: Find p and q, if X, = 11, n = 30, X, = 18, and n, = 70. A) p= 0.29 and q= 0.71 B) p= 0.71 and q=…

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Q: 1. Find the union C1U C2 and the intersection C1NC2 of the two sets C1 and C2, where (a) C1 = {0,1,…

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Q: Given the sets X={0}X={0}, A={−1,0,1}A={−1,0,1}, and B={4,5}B={4,5}, Find the following: n(X) n(A…

A: In this question we have to perform some operation on the sets.

Q: Let S = {1, 2, ..., 10}, A = {1, 3, 5}, B = {1, 4, 6}, and C = {2, 5, 7}. %3D Which of the following…

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Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: Given A = {1, 3, 6, 8, 9, 12, 15) and B = {6, 9, 12), which is TRUE? B is the complement of A ANB=0…

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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”.