The universal set is given as U={5,6,7,8,9}, set C={5,6,7} and set D={6,8} (True or False Explain Why) D is a proper subset of C D∩∩C={6} D∪∪C={5,6,7} C'={8,9}

Q: 2, 3, 4, 5, 6, 7, 8, 9, 10} as the universal set and let Consider C = {1,4,9}, D= {2,3,5,7}, E =…

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Q: The cardinality of { Ø, 1, 2, 2, {1, 2}} is

A: We need to find the cardinality of { ϕ, 1,2,2,{1,2}}.

Q: Let U= {1,2,3,4,5,6,7,8,9,10} A= {3,5,7,8} B={2,3,8,9,10} C={1,4,7,8} 1. What is (A ∩ B)' 2. A' ∩ B…

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Q: Find an orthogonal set with the same span (and same number of elements) as 9 27 12 4 11 21 -10 -91 4…

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Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

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Q: Find the following sets: U= { 1,2,3,4,5} A ={1,2,3} B={5} 11. A’                             16. B’…

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Q: Find closed Sets A= [2,5), B = {2, 4, 6, 8, 10,--- }, C = {6, 21, 42, 58}

A: We have to find the closed sets.

Q: Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3,5) = 7, fi (3, 5) = 2, f2(3, 5) = 5. %3D…

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Q: Create three non-empty sets A, B, C, that show this statement is FALSE: For all sets A, B, C: A- (Bn…

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Q: Prove that if A and B are sets, then (A∩B)∪(A∩B^' )=A

A: To prove : A∩B∪A∩B'=A   Let x∈A∩B∪A∩B' ⇒x∈A∩B or x∈A∩B' ⇒x∈A and x∈Bor x∈A and x∈B' In either of the…

Q: If a universal set has 500 elements, n(a)= 240, n(AUB) = 400, n(An B) = 55, what is n(B')?

A: Total number of elements = n(U) = 500n(A) = 240n(A  B) = 400n(AB) = 55We have to find n(B').

Q: Use the given cardinalities to determine the number of elements in the specific region. Where, "n"…

A: Since you posted more than 3 subparts, according to guidelines we can solve only first three…

Q: Choose the best option that answers each problem. You may choose only one. 1) Let R be the set of…

A: To Choose : The best option that answers each problem.Let R be the set of all subsets of a set X.…

Q: Let z = g(x, y) = f(3 cos(cy), y + ey) provided that f(3,5) = 8, fi(3,5) = 2, f2(3, 5) = 3. i) Find…

A: Chain rule of double derivative: Let us consider a two variable function z=f(u,v) where u=p(x,y) and…

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: (BUA)'= Give a 3 element subset of set B.

A: Given : U = 1,2,3,4,5,6,7,8,a,b,cA = 2,4,6,8B = 1,2,3,4,a,bC = 4,8,a,c

Q: ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=

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Q: Let U = {a,b,c,d,e,f,17,18,19,20,21,22}, List the members of the set X'nY', using set braces. X =…

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Q: Let A, B, C be subsets of X. show that Av (Bnc) - (AUB)n (AUC) AnCBUC) = (ANB)~ (ANC)

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Q: Q2) Let A = {1, 2, 3, 5} and B = {-1,0,1,2,3,4, 5, 6} be the two sets. Draw A and B on Venn diagram…

A: Given,          The two sets are A=1,2,3,5 and B=-1,0,1,2,3,4,5,6.

Q: 13 If Set A = {1, 2, 3, 4}, Set B = {3, 4, 5} and Set C = {4, 5, 6} then, prove  (AUB)UC=AU(BUC)

A: The union of two sets A and B is equal to the set of elements that are present in set A, in set B,…

Q: 2. If set A contains {1}, and set B contains {2} then AUB= (1 Point)

A: Set is the measure of the collection of well known information. Let A and B be the two sets, then…

Q: Suppose u=(1,2...19,20) and the sets A, B & C are contained in U and are given by A=(2,6,8,9, 10,…

A: Given that  u=(1,2...19,20) and the sets A, B & C are contained in U and are given by…

Q: Q1) Consider the universal set U = {1,2, 3, 4, 5, 6, 7,8, 9} and sets A = (1,2,5, 6}, = {2,5, 7},C =…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: 4 (6) Let U = {a, b, c, d, e, f, g, h } A = {a, f, h } B = {b, c, d, f } C = {b, c, d, e, g } %3D…

A: Given U = a, b, c, d, e, f, g, hA = a, f, hB = b, c, d, fC = b, c, d, e, g

Q: Consider the following two sets, A = { 1, 2, 3 } B= {a, b, c } What is Ax B? {(1, a), ( 1, b ), (1,…

A: Given that  A{1,2,3} B={a,b,c) To find A*B

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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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.