Let U= (3, 15, 6, 14, 11, 17, 20, 22} A = (3, 20, 22) C= {15, 6, 14, 11, 17} Find A UC'. Choose the correct answer below, and, if necessary, fill in the answer box to complete your choice. O A. AUC'= { (Use a comma to separate answers as needed.) O B. AUC'is the empty set.

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and T= {1,3, 7}. Find T'. O T = {2, 4, 5, 6, 8,9, 10} OT =…

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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: Let S = {0, 1, 5, 4, 7}, number of subsets of S is 32Q, then find the value of Q.

A: S is a set with cardinality 5 and given he number of subsets of S is 32Q, then we have to find the…

Q: Which of these sets are equal: {x, 1, z}, {z, 1, z, x}, {1, x, 1, z}, {1, z, x, 1}?

A: Given sets are x,1,z , z,1,z,x , 1,x,1,z , 1,z,x,1 find out which sets are equal

Q: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

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

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Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

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Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

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Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: If a set A has 63 proper subsets, what is |A|? *

A: Solution...

Q: Specify the set by roster. {Distinct letters in the word television

A: Given data: {Distinct letters in the word television}   To find: Specify the set by roster.

Q: Let the universal set U = {1,2,3,4,5,6,7,8,9,10,11,12}. Suppose that if the i. bit is in the set i,…

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Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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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: [3 marks] Let A = (-∞, 5], B = [-1,4), and C = (3, 8]. Then, BnC is O(3, 4). Op. O[-1,8]. O[3, 4].…

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Q: Assume that A={A,B,C} and B={5,4,1,9,6} A code consists of 2 different symbols selected from X…

A: Given: Assuming X={A,B,C} and Y={5,4,1,9,6}. A code consists of 2 different symbols selected from X…

Q: Let: U = (a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B). O (a,…

A: Given that,U=a, b, c, d, e, f, g, h, iA=a, c, d, f, g, hB=b, c, d, e, iThe set A∪B' is determined as…

Q: Let S={1,2,3,4,5,6,7,8,9} How many subsets of cardinality 6 have {2,3,5} as a subset?

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Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: How many subsets does the set  F = {3, 4, 5, 6, 7} have?

A: No. of subsets in a set: The number of subsets in a set containing n elements is given by 2n. No. of…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A - B

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Q: Show that the N and the set {1,3,7, 15, 31, . . } have the same cardinalit

A: To show N and the set S= {1,3,7,15,31...} have the same cardinality, we need to show there is a…

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: Given, 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}…

Q: Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and…

A: We have find answer.

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Use the roster method to…

A: Complement of a set: It includes all those elements of universal set which are not in that…

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Use the roster method to…

A: Given: To find the complement of the given set: {2, 3, 5, 7}

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

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Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

A: Consider the given set A = {a, b, c}. A proper subset of a set A is a subset of A that is not equal…

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: a) Find the cardinal number of the set of letters in the word "MALAYALAM" b) If A = {5, 7, 8,…

A: Cardinal number of a set A is the number of elements of the set A.

Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: u={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} where u represent the universe set.  Also let A={1, 2, 3} and…

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Q: Assume that a fair die is relled. The samnple space is1, 2, 3, 4, 5, 6| and all the outcomes are…

A: If a fair die is rolled, then we get sample space as  S={1,2,3,4,5,6} Let E denote the outcome of 6…

Q: 3. Show that if A and B sets then A – B = ANB (Note that: Using Venn Diagram is not accepted!)

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Q: There is a one-to-one correspondence of subsets of {1, 2, ..., 6}, what six-character string with…

A: Given there is a one to one correspondence of subsets of  {1,2,3,4,5,6} Find the six- character…

Q: The congruence class of [6]5 is {...-9,4,1,6, – 11...} {...-9,-4,–1,6,11...} {...-9,-4,1,6,11...}…

A: We have to find the congruence class of 65. The congruence class of 65 is the set of all integers…

Q: Let U={1,2,3,4,5,6,7,8,9,10}   Let A={1,2,3,8,9}.   LetB={1,4,5,6,8}.   Determine (A−B)′

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Q: 8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2…

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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: 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}…

Q: State the cardinality of -1,-2, 3,6,7, 12

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.  Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}.…

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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”.