Let w=ord ({1,2,3,...}) and n=ord({a1,a2,a3, . .. ,an}), then w+n=n+w صواب ihi

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.

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Q: 5. Let u = {1, 2,3, 4, 5, , 15} A = { 1, 2, 3, 4, 5 } B = { 1, 3, 5, 7, , 15 } .. Find (An B' )'

A: Given that,

Q: 1. Let A = (0, 2, 4, 6, 8), B = (0, 1, 2, 3, 4) and C = (0, 3, 6, 9). What are a. AUBUC and b. AnBn…

A: # We are entitled to solve one question at a time , please resubmit the other question if you wish…

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: 1. Let A, = {1,3,5}; A, = {2,3,4,6,7}; A, = {1,2,3,4,5}; A4 = {2}; As = {2,3}. %3D %3D a. IfI =…

A: Since you have posted multiple questions, we solve the first problem for you. If you want to be…

Q: Let A= {1,2.3)} then P(A)= {þ, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}} Ture False O

A: Subset: If every element of a set A is also an element of a set B, then A is called a subset of B.…

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C %3D = {1, 6, 7}. Find: (A U B) NC = O {1, 2,…

A: Given: A=1, 2, 3, 4, 5, 6, B=2, 4, 5, 6, and C=1, 6, 7.To find A∪B∩C.

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

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Q: Let U={1,2,3,4,5,6,7,8,9,10}. Let A={1,3,6,8,10}. Let B={2,3,5,7,8}. Determine (A−B)′

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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: Does S={(1,0,1),(2,1,0),(3,,1,1),(1,1,1)} spans R³ ? Select one: O True O False

A: Given: S={(1,0,1),(2,1,0),(3,1,1),(1,1,1)}

Q: [3 marks] Let A = (-∞, 5], B = [-1,4), and C = (3, 8]. Then, BnC is O(3, 4). Op. O[-1,8]. O[3, 4].…

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Q: Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and    B = {3, 4, 5}. Find A′, B′ , A′ ∩ B′, A ∪ B and hence…

A: Given: Now, The set of all those elements of U which do not belongs to A is called the complement…

Q: Let X = {a, b, c, d,e} and let T = {X, Ø, {a}, {a,d}, {a,e}}, then * O (X,T) is not connected but it…

A: No information is given for topology on Y So i have solved only the middle question

Q: 6) Write a two column proof. Given: OSTUV Prove: AVXS = AUXT

A: We can prove same as below

Q: If U =[2,4,...,16] , A = [2,6,8,10] and B = [4, 6,10,14] then find out (U - A) N (U - B)

A: Given

Q: Let A = {1, 2, 3, 4, 5}. How many subsets of A have no more than 3 elements?

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Q: 17. Let U =1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ) T=12,3,9} V = (8, 9, 10} Find (T'uV

A: Some basic formulae for union and intersection of two sets are (i) X∪Y=X+Y-X∩Y(ii) X∪∅=X(iii)…

Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

Q: 1. Let, a, = 3, az = 4 and for n 3, a, = 2a,-1+ an-2, express a, in terms of n.

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Q: Let U = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9). Find A". ....

A: Given, U=1,2,3,4,5,6,7,8,9,10   AndA=1,3,5,7,9

Q: Let A {1,3,5, ... }, then A is well- ordered.

A: Here we have given a set A ={1,3,5,  ...}

Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

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: If X = {a, b, c} and t= {Ø, X, {a}, {c}, {a,c}} then one of these is a base for t {X, {a}, {c}}O {X,…

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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: Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let A = {1,2,3} and B = {2,7,9}. Then (ANB)UA = %3D None of the these O ANB O B O A

A: Here two sets are given, we have to find the equivalent expression for the given expression in the…

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: let u=(8,0,-8) v=(8,3,16) find Il v||

A: ||v||=√329

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

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Q: Prove that rem(ab,c) = rem(rem(a,c)rem(b,c),c)

A: Consider the given information. The term rem is defined as, rem(a, b) is the remainder when a is…

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= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A NB.

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Q: Le Let n=Layb,e, E, h, IJr B=(a,C,e,g)and b) BnC gAnc d AnBnc le)auB. Buc 9 AUC B.

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Q: 11 Jlgull If 7,,z, EC then Z+z2=00 z+Z2=Z,+Z20 z,z2=0 Z=0 or z2=00

A: consider  z1=a+biz2=c+di here, if a≠c and b≠d then z1≠z2 therefore, z1=z2 may or may not be true.…

Q: 9) Determine whether AMNO = AQRS. Explain. M(0,-1), N(-1,-4), 0(-4,-3), Q(3,-3), R(4,-4), S(3,3)

A: Given, M0,-1;    N-1, 4;    O-4, 3Q3, -3;    R4, -4;   S3, 3 We have to determine whether  ∆MNO…

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}. Prove the…

A: We will prove the following identity: (A − B) − C = (A − C) − (B − C) A ∪ (B ∪ C) = (A ∪ B) ∪ C

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

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Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in…

A: Recall the following facts.

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

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Q: 1. Find ÚA,, NA,, if A1 = {0,1,2, .}, A2 = {2,3, ..}, ., An = {n,n + 1,.. ,.. %3D ....

A: See picture added

Q: Prove rem (a+b,c) = [rem(a,c) + rem(b,c)] , c

A: Note: rema,b=the remainder when a is divided by b. Then, by the quotient remainder theorem, there…

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

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Q: Let M, P and C be the sets of students taking Mathematics courses, Physics courses and Computer…

A: We denote Mathematics by M, Physics by P and computer science by C Now, nA denote the number of…

Q: Let X = {a, b, c, d,e} and let T= { X, Ø, {a}, {a,d}, {a,e} }, then * O (X,T) is Hausdorff and…

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Q: Assume that A ={ 1, 2, 4, 6 } and B = { 2, 3, 6, 9 }. Find A - B. * O A -B = { 3, 9} O A -B = { 1,…

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Q: 30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6}…

A: Hall's marriage condition is defined as  let S be the family of finite subsets of X, where the…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.  Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}.…

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Q: Let S = {a, b,f,g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many…

A: We have to find no. Of subset as per given question.