Let A be the set of factors of 20, B be the set of factors of 30, C be the set of factors of 40, and D be the set of factors of 50. The universal set is {(1, 2, 3, 4, 5, 6, 8, 10, 15, 20, 25 Which set is equivalent to (AU C) n B?

Q: A = {1, 2, 3, 4, 5} B = {2, 4, 6, 8} C= {3, 6, 9} U= {x | x is a positive integer less than 11}…

A: topic - sets

Q: Are the sets equal? A={17,18,18,19,19,19,20,20,20,20} B={20,19,18,17} Yes No

A: Given SetsA={17,18,18,19,19,19,20,20,20,20} andB={20,19,18,17}

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

Q: List the elements of the set of all letters in the word ​'four'. The set of all letters in the word…

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

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Q: 1. Is a set {-22,-15,-9,-2,5,10,25,33,44} modulo 9 a CRS? Why? 2. Is a set…

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Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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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: Let A={1,2,3,4,6,9,12,18}, then the set of maximal element is: .a {12,18} .b None {12} .d {18}

A: Given a statement

Q: If A is the set of all whole numbers less than 20 that are divisible by, 4, and B is the set of all…

A: A∪B is the union of set A and set B. This set contains all the elements in set A or set B. The Venn…

Q: How many subsets does the set X = {r, s, t, 10, 20, 15} have? %3D

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Q: 9. Let P denote the open sentence "x € A" and let Q denote the open sentence "x € B". (a) Write "x…

A: Introduction: If two logical statements have the same truth value in all circumstances, they are…

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

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Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2,3, 4,5,6} and…

A: Let us consider the set A  and B 1. Ac set all the elements from the universal set other than the…

Q: The binary operation * is defined on the set of R by a * b = (a + b) / (a – b). What is a * b if a =…

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Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

A: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: {5}⊂{1, 3, 5, 7, 9,...} true or false

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Q: = (10,11}

A: Whole Numbers: Set of numbers {0,1,2,3,.....} Whole numbers between 9 and 12 are 10,11

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Use the results from parts (a) and (b) to answer part (c). Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A =…

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Q: How many non empty collections of letters can be formed from n As, n Bs, n Cs and n Ds?

A: Using Combinatorics, if all A's and B's were different: You can choose either 0 A in C(n,0), 1 A in…

Q: 7- Consider the universal set U = {1, 2, 3, ..., 8, 9} and sets A = {1, 2, 5, 6}, B = {2, 5, 7}, C=…

A: A∩B represents common elements in A and B. Given that A=1,2,5,6 and B=2,5,7 A∩B=2,5

Q: What is the domain of the following: {(3,4), (9,1), (10, 5), (2, 15), (8, 4)}

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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: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

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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”.