let to be anonempty subset of abounded set E-Show that infESinf to Ssup E ssup E

Q: Cantor set is measure at 1

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Q: How many derangements has the set. S? How many derangements of S have 9 in the 2nd position and 1 in…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

Q: . Is it true that the null set is a subset of every other set? (Y/N)

A: If a set has no element then the set is called null set. Null set is also called empty set. It is…

Q: When is a set compact?

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Q: Let *' be defined on the set N. Which of the following are both commutative and associative?

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Q: List all the subsets of the set A = {a, b, c, d}

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Q: Let A and B be subsets of some universal set U. Prove each of the following: *(a) An BCA * (b) A…

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Q: Prove by giving an example that if any set A, g. l. b(-A) = - l. u. b(A

A: Take a set A with two elements 1 and -1

Q: If S is a relation from a non-empty set A to a nonempty set B ther OS=AUB S = An B S≤AX B O S=AxB

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Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: Let the Universal set be U = (1, 2, . 20), A= (1,6.11,19) and B = (6, 11, 14, 7) f(A - B) (1) = (A5…

A: Since you have posted multiple questions. I am answering the three parts. Please post the question…

Q: List all the possible subsets of set G, where G = {-7,m,z}- %3D

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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: Suppose A={-1, 0, 4}.Find a set B such that A is equivalent to B.

A: Two sets A and B are said to be equivalent to each other if both the sets A and B have same number…

Q: Let S, T be any subsets of a universal set U. Prove that (ST)º = S¢ µTº.

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Q: Prove. Power set of a null set is empty.

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Q: (FNB) UC'

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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: It is the selection of objects from a set.

A: This is the problem of combinatorial. finite math, counting.

Q: Q.No.2 Let X be a universal set and A, B be the subsets of X.Then prove the following. (a) ((A*…

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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: 1. Show that 2 is a primitive root modulo 13. 2. For each element a in T, find the index of a mod 13…

A: T=1,2,3,4,5,6,7,8,9,10,11,12

Q: The matrix aij and vector b; are specified by [5 0 6] 3 1 3 1 4 0 Determine the following…

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Q: show vacuous proof of statement that "empty set is a subset of any set"

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Q: How many relations are there on the set {a, b, c, d}

A: Introduction: The relation is a subset of the Cartesian product of two sets. Since it is a subset of…

Q: Let 2 belongs to a set S. Now, consider the following definition if x belongs to S then (3x) belongs…

A: Given 2 belongs to set Sand given x belongs to S and then 3x belongs to S

Q: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

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Q: Prove that if A, B.C are subsets of a universal set U, then AU(BnC) C (AUB)n(AUC)

A: use the basic property of subset and set theory.