(2) Let L = {w E {1, 2, 3]*: |w| is even}. List the first twelve elements of L in lexicographic order. O 1, 2, 3, 11, 12, 13, 21, 22, 23, 31, 32, 33 O 1, 11, 12, 13, 2, 21, 22, 23, 3, 31, 32, 33 O 11, 12, 13, 21, 22, 23, 31, 32, 33, 1111, 1112, 1113 O €, 11, 12, 13, 21, 22, 23, 31, 32, 33, 1111, 1112

Q: Let U =  {5, 6, 7, 8, 9, 10, 11, 12},   A =  {6, 8, 10},   B =  {5, 6, 9, 12},  and C =  {5, 7,…

A:

Q: Let A = (1,2,3, 4, 5,6,7,8), B = {x € Z|x is divisible by 3}, and C = {x € R|x? = 4 + x = -1}, Z =…

A: Let A be a set. When x is an element of a set of A, it is expressed as x€A(read as x belongs to A)…

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

A: Given U = {2, 3, 4, 5, 6, 7, 8, 9},   A = {3, 5, 7}, B = {2, 3, 6, 9}, and C ={2, 4, 8}. Find  (A ∪…

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: 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: Consider your eight-digit student ID as a set of single-digit integers. For example, if your student…

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Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: fa,,a,,a,,...-,a, be an AP of non - zero terms, prove that ---- 1 +. 1 +...+ n-1 aa, a,a, a a, a,a

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Q: In how many ways can four distinct numbers be chosen from the set {1,2,...,14} so that no pair among…

A: solution:- Probability when all four chosen numbers are not consecutive = 1 − Probability when all…

Q: If U = {a, b, c, d, e, f}, A = {a, b}, and B = {b, c, d}, find the following. (Enter your answers as…

A: To find following sets

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

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

A: Domain of a function: The domain of a function fx is the set of all values of x for which the…

Q: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

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Q: Which of the following sets is (are) proper subsets(s) of the set of the multiples of 5? Choose one…

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Q: Let U={−6,−5,−4,−2,0,1,2,3,4}, E={−6,−4,−2,4}, F={−4,−2,0,1,2}. and G={−6,−5,1,2,3}. In each of the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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

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Q: 2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one…

A: We need to find number of digits.

Q: Show that the set W of all whole numbers, W = {0, 1, 2, 3, . . 3, and N = 11, 2, 3, 4, . . 3 are…

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Q: 4. Let A = {a, b, c, d, e, f, g, h, i, j, k}. (a) How many subsets of A contain exactly 8 distinct…

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

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Q: Let U = {4, 5, 6, 7, 8, 9, 10, 11},  A = {5, 7, 9},  B = {4, 5, 8, 11}, and C = {4, 6, 10}. Find the…

A: We first find C' (complement of C)

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Let S be set of integers and for any three numbers say a, b, c E N. Then, a*b* c = max{a,b,c}.…

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Q: on 14 Given the following sets (where U represents the Universal set),determine the result of the…

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Q: 4. Find all subsets of S = {0, 1, {0,1}} which are not also elements of S. (Another way of writing…

A: 4. Given set is S=∅, 1, ∅, 1.   To Find: All subsets of S which are not also elements of S i.e., all…

Q: Number 3

A:

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

A: We know that for a pointx,y is domain is x and range is y Similarly, for given…