Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and E = (0, 2, 4, 6, 8} and P = {2, 3, 5, 7}, then the complement of P =

Q: Let U={0,1,2,3,4,5,6,7,8} and E= {0,2,4,6,8} and P={2,3,5,7}, then P (upside down U) E= A. { } B.…

A: B. {2}

Q: Let  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, a, b, c, d, e}.  If  A = {1, 2, a, e}  and  B =…

A:

Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}. (g) B ∪ C:  (h) B ∩ C

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Q: Let U = {1, 2, 3, 4,..,10}. A = {1, 2, 3, 4, 5}, B = {1, 2, 4, 8}, C = {1, 2, 3, 5, 7} Find the…

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Q: Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and B = {0, 2, 4, 6, 8}. How many subsets U of A are there so…

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Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let U​ =​{1, 2, 3, 4, a, b, c, d, e​}, E​ =​{1, 3, 4, c, d, e​},F​ =​{1, 2, b, c​}, and G​ =​{1, 2,…

A:

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

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

Q: Let U, A, and B be defined as shown below. U ={a, b, c, d, e, f, g, h, i, j } A = { c, d, e, g, i} B…

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Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: a) Determine whether S = {(1,0, -1), (2,1,0), (3,1, –1), (1,1,1)} spans R°.

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Q: Assume that U= { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, A = { 2, 5, 7, 8 } and B = { 1, 4, 5, 7 }. Find…

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Q: Let A = (1,2), B = (1,3,4) C (2,3, 4} and U = (1,2,3,4,5), then [Cn (B- A)] = O {3.4} O {1.2} O {3}…

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Q: Let R = {(3,4),(1,3),(4,2),(4,1)}, Then R² is given by O (1,3),(2,1),(3,2),(4,3)} O {(1,3).(2,1).(3,…

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Q: Let U = {0,1,3,5,6,7}, A = {0,3,5,7}, B = {0,3,5,6,7}, and C = {0,5,6}. Find each of the following:…

A: A set is defined as a collection of  various well defined distinct objects or entities which may be…

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: If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. * B = {2, 4} A = {0} C…

A: Given are some sets. We have to check if those are subsets of the Set U.

Q: Let U= (1, 15, 8, 14, 5, 10, 20, 22) A = (1, 20, 22) C = (15, 8, 14, 5, 10} Find AUC'.

A: Given: U = {1, 15, 8, 14, 5, 10, 20, 22} A= {1, 20, 22} C= {15, 8, 14, 5, 10}

Q: If ||v|| = ||w||, then v = w.

A: When two vectors are said to be equal, on it is necessary that magnitude and direction of both…

Q: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

A:

Q: Let U = {a, b, c, d, e, f, g, h, i, j, k}. Let A = {c, d, f, g, i, j}. Let B = {c, e, g, i, j}. Let…

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Q: : let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v + 2w equal (8, 0, 0) O (7,0, 1) O…

A: The solution of given problem is given as follows :

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A - B

A:

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and    B = { 2, 3, 5, 7 }. Find A ∩ B and hence show that A…

A: A ∩ B = {1,2,3,4,5,6,7,8,9,10} ∩ {2,3,5,7}           = {2,3,5,7}           = B

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: If A ⊂ B, can A and B be independent under any circumstances? Explain

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Q: Let u = (1, 2, 3), v = (2, 2, −1), and w = (4, 0, −4).Find u − v and v − u.

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Q: Let U= {0,1,2,3,4,5,6,7,8} and E= {0,2,4,6,8} and P={2,3,5,7}, then the compliment of P= A.…

A: We have to find complement

Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

A:

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8,9, 10}. Find a)…

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Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}. Select Ac from the choices…

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Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find B U (AN C). || {

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Q: А — {а, с, е, һ, i, m} B = {a, b, d, f, h, j} |3| AUB = { } AN B = { (AN B)° = { }

A:

Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {3,4,6,7,8,10,11} D= {1,3,5,6}…

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Q: Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

A: Let u={1,0,2},v={0,1,3} and w={1,0,1} .

Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.

Q: Let U%3D {а, с, е, h, m, о, р, s, t, и, у, 0, 1, -} А %3D {с, һ, о, р, s, и, e, y} B = {s, e, t} С…

A: The power set of a set S denoted by 2S is defined as the set of all subsets of the Set S including…

Q: Let u = (1, 2, 3), v= (2, 2, –1), and w = (4,0, –4). Find u – v+ 2w о (3,0, 0) о (7,0, —4) о (11,4,…

A: Given that  u=(1, 2,3) V=(2, 2,-1) and W=(4, 0,-4)

Q: Let X=R and B={] a, b] /a, b belong to R, a

A: Given set is closopen (close and open) in R.

Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,10,11}…

A: Given sets are U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D=…

Q: Given that U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} A={1,2,3,4,5,7,8,9,11,13,14,16,17}…

A: Given ,…

Q: let u=(8,0,-8) v=(8,3,16) find || u|| Select one: a. 5/3

A: u = (8,0,-8) v = (8,3,16)

Q: Given that U = {1, 2, 3, ..., 18, 19, 20} А - {1,4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 18, 19} В - {2,…

A:

Q: Answer the following question. Suppose U = {z |3<= < 15, z € Z}, R= {z | 5 <z < 8, z € Z}, and T =…

A: Note: As per the policy, if a question has more than four parts, it is instructed to answer only the…

Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A = {0,1,2,3,5,8}; B={0,2,4,6}; C = {1,3,5,7} %3D Write down a…

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Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В 3D {3, 1, 9, e, а, с, 0}, and С %3D {2, с, 10, 9, 8, —4,…

A: Using the definition of intersection, union and difference between two set

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.