Let \(U={a,b,c,d,e,f,g,h}, A={a,b,c,d}, B={b,e,a,d}, C={e,a}\}. Identify if the following statement is true or false. 1. e∈A 2. C⊆B 3. B⊂(A∪C) 4. n(A∩B)=8

Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E: Determine which of the following…

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

Q: Given that U = {1,2, 3, ..., 11, 12, 13} A = {1, 2, 7, 12} В 3 3,5, 6, 8, 12, 13} С 3 {1,5, 7, 8,…

A: Explanation: Region I:   2 Region II:  Null Region III:  3,6 Region IV:  1,7 Region V:  12 Region…

Q: 2. Let U= { 11, 12, 13, 14, 15, 16, 17, 18, 19} and A = {12, 14, 16, 18} , B = {12, 15, 16, 19}, and…

A: A∩B={ Memberes in both A and B}A∩B={12, 16}

Q: Consider A = {x, y,z) and B {w, x, y}. If U = AUB, which set is equal to (B\A)'? Note: B\A = B- A.…

A:

Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x,y,z). f1 = {(1,00),(2,01),(3,01),(3,10) (4,11)}. %3D f2 =…

A: Given that:

Q: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

Q: Let A={1,2,3,4}, B={00,01,10,11}, C={x,y,z}. f1 = {(1,00),(2,01),(3,01),(3,10) (4,11)}- f2 = {(1,x),…

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (4, 0, −3, 5), v = (0, 2,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: S Dite Y as b, and Va, îf possi ble. (if not ponible, enter ImporsiBce) V= (9, -24,-13,-14), H,=…

A:

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: Determine whether A=​B, A ⊆ ​B, B ⊆ ​A, A ⊂ ​B, B ⊂ ​A, or if none of these applies.…

A: Subsets are a part of one of the mathematical concepts called Sets.  In set theory, a subset is…

Q: List all the combinations of four objects x, y, z, and s taken two at a time. What is C,?

A: The objects are given by {x,y,z,s}

Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: Let X, Y subset U. Suppose that n(X)= 22, n(Y)= 20, and n(X intersect Y)= 16. How many elements are…

A: Let X,Y be subsets of U.  nX=22 , nY=20 and nX∩Y=16 It is given that nU=40. Find nX'∪Y:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

Q: E O a. Odette is not eating. O b. Lancelot is not hungry. O C. Lancelot is not eating. O d. Odette…

A:

Q: Are na V Independen O No, f(u,v) + fulu)fy(v) O Yes, f(u,v) = fulu)fy(v) No, f(u,v) = fu(u)fy(v) O…

A: It is given that f(u,v)=4uv.

Q: Let: U = (a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B). O (a,…

A: Given that,U=a, b, c, d, e, f, g, h, iA=a, c, d, f, g, hB=b, c, d, e, iThe set A∪B' is determined as…

Q: 9. If (X, M, u) is a measure space and E, FEM, then u(E)+μ(F) = μ(EUF)+ μ(EnF).

A: Introduction: A measurable function is a function between the underlying sets of two measurable…

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

A:

Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: O lalvite eah vertar vertors in S. (if not posi ble, enter IMpossiecE) a inecr Com bimtion of the as…

A:

Q: Let A, BCR x R defined by A= {{n,m)|n, m € N, 0 < 2m(n + 1) – 3 < 5}, and B = {(1,1), (1,2), (2, 1),…

A:

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: 2. Let, A = { 1,2,3,4 }, B = { a,b,c,d }, C = { x,y,z }, R= { (1,a),(2,d),(3,d),(3,b),(3,d) },S = {…

A:

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

A: Consider the given sets, U=a,b,c,d,e,f,g,h,i,j,kA=a,b,f,h,i,jB=a,c,d,h,jC=a,d,f,g,j We need to…

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: Let U={a,b,c,d,e,f.g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

Q: asures of 1, 22, 23, and 4. m 21 %3D m 2 38° m 23 4 m Z4

A:

Q: Suppose that X, Y ⊆ U. If n(X) = 24, n(Y ) = 18, and n(X ∩ Y ) = 14, what is n(X Compliment ∪ Y ) if…

A:

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f.g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

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: Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09, what…

A: Given Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09

Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: If  u =≺4,3≻,v=≺2,−3≻  then u⋅v  equals

A: We can make it easier for you.

Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

A:

Q: Consider A = {x,y,z} and B = {w,x, y}. If U = A U B, which set is equal to (B\A)'? Note: B\A = B –…

A:

Q: 7. Let U = {2, 3, 4, 5, 7, 9}, X = {2, 3, 4, 5}, Y = {3, 5, 7, 9}, Z= {2, 4,7,9}. %3D IVer

A:

Q: The set {u1, u2, u3} is orthonormal. 1 2 V5 V5 1 2 1 2 10 ,U2= ,u3= 10 1 2 1 2 10 10 True False

A:

Q: Let A = { c, d, f, g} B = { f, j} C= { d, g} Is C C C? True False

A: Every  set is subset  of it self Here C is subset  of C

Q: 8,9}, A = {1,2,3,4}, B = {2,4,6,8} and C = {3,4,5,6}, then %3D %3D d) A U B 8) (An C)' j)

A: We have to find the following conditions according to the given information

Q: Let A = {c, d, f, g), B = {f, j}, and C = (d, g}. CsA A) True (B) False

A:

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: Let U= (q, r, 5, t, u. V. W, x, y, z). A = (g. 5, u, w, y): B= (4. 5.y. z) and C= (v, w, x, y. z).…

A: Option (D) is correct.

Q: Given U={q, r} and V={s, t}, then: uV = {(s,q),(t,r),(r,s),(t,q)}

A: By the relation from linear algebra  we can solve this question.

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: Let U = {q, r, s, t, u, v, w, x, y, z} A = (q, s, u, w, y} B = (q, s, y, z} C= (v, w, x, y, z}…

A: Topic:-  set and sub set

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”.