se the roster method to write the set A'.

Q: Find the order of U_12

A: We have to find

Q: (BUA)NC

A: B∪A∩C' In this B∪A represents all the portions icluding A and B.  So, the venn diagram can be drawn…

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: 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: Can I use symbols other than braces when writing sets using the roster method?

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Q: show that 12ª> |A/ for each set A

A: The objective is to prove |2A|>|A| for each set A.

Q: 6. Show that the span of this set is all of R?. {}}

A: Let S=v1,v2,...,vn be a set of vectors in a vector space V(F) . The vector space V is spanned by S,…

Q: 18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and…

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Q: 20 Let A = 11 then A-1-

A: Given: A matrix A=2011. To find: A-1

Q: How many different functions are there from a set with 10 elements to sets with 2 elements?

A: Definition 1.Function : A relation where every input has one single output. 2.Product rule: If one…

Q: Let X={a,b,c} and Y=∅. What is X∩Y? If the set is empty type ∅, otherwise write your answer in…

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Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: Prove that (2,5) is an open set

A:

Q: Let U=(3,4,8,9,10,11,15,18,19), X=(4,9,11,18), Y = {4,8,9,10,11), and Z=(3,4,8,18,19). List the…

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Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: For all sets A, B, and C, prove that (AUB) - (CA) = AU (B-C) Please indicate the reason for each of…

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Q: why Ua equals to empty set

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Q: E. Show that both R and R² may be covered by countably many open balls.

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Q: How many different functions are there from a set with 10 elements to sets with 5 elements?

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Q: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

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Q: For any two sets A and B, if m* (A) = 0, then m* (AUB) = m* (B). In particular, if BCA, then m* (B)…

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Q: Show that the following statement is false. If A and B are two sets of positive integers, then…

A: Let A={2,3,4}    B={5,6,7} U={1,2,3,4,5,6,7} Now, A'={ 1,5,6,7}  B' ={1,2,3,4} Now,…

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: 2. Find a set A such that A = {2, JA]}.

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Q: Use the set notation symbols (U,',N) and set labels from part A to express each of the following…

A: 1.Elements in both Group 1 and Group 2:This is the intersection of Group 1 and Group 2, represented…

Q: Refer to the following diagram where U is the set of all tourists surveyed over a 1 week period in…

A: Introduction: A Venn diagram is given, representing the events A, B, and C, within the universal set…

Q: If X = {u,v} what is the power set of X? (in answering this question, use {} as the null set, and do…

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Q: Give a set that is not closed under addition

A: In the question we have to give a set that is not closed under addition.