For an indexed collection of sets to have an intersection an element needs to be in every set right? so for example the following example : "Let B1 = {1, 2}, B2 = {2, 3}, ..., B10 = {10, 11}; that is, Bi = {i, i + 1} for i = 1, 2,..., 10." has no intersections because even though 2 is in set B1 and B2 it isnt in the remaining sets?

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: 1) Find the union of three sets AUBUC, given A= {1, 2, 3, 4), B= {3, 4, 5, 6} and C= {6, 7,8,9}. 2)…

A: (1) To find the union of three sets A∪B∪C, given A=1, 2, 3, 4, B=3, 4, 5, 6 and  C=6, 7, 8, 9. (2)…

Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 4 7 (198) -10 -8…

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Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

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Q: If a universal set contains 250 elements,

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Q: Page Turner loves discrete mathematics. She has 8 "graph theory" books, 6 books about combinatorics,…

A: Page Turner loves discrete mathematics. She has 8 graph theory books, 6 books about combinatorics…

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: (b) Let = {A; : i EN} be an indexed family of sets with the property that A₁ A₂ 22 A, 2..., that is,…

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Q: A and B be two sets, and A - B = . a) What can you say about sets A and B? b) Draw a Venn diagram.

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Q: How many relations are there on the set S = {2, 4, 6}?

A: We know that, the number of relations of a set containing n element is 2n^2. Given that S = {2,4,6}

Q: But change the problem to say A={1,5,7,11}, B={3,5,7}, C={3,7,9,11}

A: The union of two sets contains all the elements contained in either set (or both sets).The union is…

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: 3. (GYHD 5) Write each of these statements using "V": a) S is closed under addition. (Here, S is a…

A: (a). Given that S is closed under addition. (Here, S is a subset of ℤ.)

Q: 3.) Nowe consider motrix cif possible) as a linear combination of the motrices in' ls. the set s…

A: Given that: S=3-333,3-245,6-3106To express the the following matrices in the linear combination of…

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: Shade (A ∩(B ∩ C)') and (A-(B∩ C)) on the Venn Diagrams.   Do they represent the same set?

A: The objective is to draw the Venn Diagram of A∩B∩C' and A-B∩C Venn diagram of B∩C is,

Q: 3) Find the intersection of three sets AnBnC, given A= {43, 44, 45, 46), B= {40, 42, 44, 46, 48) and…

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Q: Suppose that U1, U2, ..., Un is a collection of n open sets. Prove that their intersection…

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