1,2, ..., let A; = {i,i + 1, i + 2, …. }. Find ỦA. For i i) ii) N A, i=1 i=1

Q: Prave that for all sets A and B, (ANB) = A UBC %3D

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Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…

A: Given- Ω=set of all real numbers  A= index set  To identify the generalized union and intersection…

Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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Q: draw a hasse Diagram

A: Given - R = 1, 1, 3, 2, 1, 3, 2, 2, 3, 3, 1, 2 To find - Draw a Hasse Diagram.

Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: Let A= {5, 6, 7, 8}, Let R: A-> A and S: A-> A. Let R= {(5, 6) (6, 8) (7, 6) (8, 7)} and S= {(5, 5)…

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Q: -1 -2 -3 -41 1 2 3 Let A = 1 2.) Find adj (A)

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Q: For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5}, B = {1,2},C =…

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Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

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Q: If A = {2,3} and B = {x|x EZ, x<3}, then A x B = Select one: O a. {(1,2), (1, 3), (2, 2), (2,3)} O…

A: If A=2, 3 and B=x x∈Z+, x&lt;3, then to determine A×B.

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Which of the following relations contain cach of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: -3  8               3   4 (10) Given A = 0   1 and B = 2   1 find: a) | AB | b) | ATA | c) | 5A…

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Q: Find the value of a for which V= 2 a 5 is in the set a= H = span -5 3 5 0 -3 -5 0 -2

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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: A How many paths are there from A to C?

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Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

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: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: 4. Find z, and z, such that, 2iz, +iz, 2+5i and = 9-11i 3i z,-2i 2, 4 =i+1, z, = 3+4i (b) z, = 3-4i,…

A: Solution:- let z1 and z2 be the different ccmplex number i2= -1 i3=-i

Q: . Given the relation R1 from X = {1,2,3,4} to Y = {a,b,c} and R2 from Y = {a,b,c} and Z = {6,7,8}…

A: Here given  Relation R1 from X=1, 2, 3, 4 to Y=a, b, c is defined as R1=1, a, 2, a, 2, b, 3, c, 4,…

Q: (c) A \ B = A \ (An B). (d) A = (ANB) U (A \ B).

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Q: Let X= a, b, c, d, and classify each of the following as -algebra or not justifying all your…

A: Here X = {a, b, c, d}    Any collection à of subsets of X is a σ-algebra if it satisfies following…

Q: Use Venn Diagrams to find A \ B and B \ A where A = {1,2,3} and B = {2,3,4}

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Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

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Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} %D are two sets. find R = {(x, y): x EX and * y EY and…

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Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 3) Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many possible symmetric relations over A contain the…

A: Given A=1,2,3,4,5,6,7,8 contains the ordered pair 2,3,3,24,7,5,5 and 8,7 Since, for the diagonal…

Q: (m) W ) Given A, Be {sets}, V AC B, A – B= A.

A: Given: A,B∈sets and A⊂B since A⊂B⇒A-B=ϕ we have to prove A-B=A So, these will happen when A=ϕ So,…

Q: 6. show that the set A = {P= (₁4₁2) (R³ | 1²4 + √²2+x2 is an open out.

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Q: denumerable. Apply the definition and prove that the set A = {₁, {} ... } is

A: An infinite set is denumerable if it is equivalent to the set of natural numbers I.e there is a…

Q: Let Ai = = [i, i + 1], i = 1, 2, 3, Then A₁ A2 A3 A4 is. a. {1,2,3,4,5} b. (1,5) d. [1,5] ....

A: We have given that Ai=[i,i+1]A1=[1,2]A2=[2,3]A3=[3,4]A4=[4,5]

Q: How many relations are there on the set {a, b}. Show all possible relations on the set {a, b} in…

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