(2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S = Uaei Sa, then |S| = 10."

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

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Q: 2. Is R Q first category, second category, both, or neither in R? Be sure to prove your claims.

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Q: It says "Then there must exists some Aj which covers 0". Why 0? I don't understand. Please explain

A: You can take any point x in [0,1].  There exist a Aj which covers x.

Q: Which of the following set is consistent? Select one: O i. None of these O i. (A&~(BVA)} O i. (/ ) >…

A: Option 4 ) { A ⊃ B , B ⊃ C , A ⊃ C }  is correct

Q: [2, 5]U[3, 7] [2,7]

A: Let A=[2,5]and B=[3,7]and we have to prove that AUB=[2,7]

Q: fa,,a,,a,,...-,a, be an AP of non - zero terms, prove that ---- 1 +. 1 +...+ n-1 aa, a,a, a a, a,a

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Q: For each pair of statements, choose the one that is true. Ofe le,f} (a) o (6, 7, 8} e {1,2, 3, 4,…

A: The pairs of statements are given above in the question.

Q: If ACB then (UNA)U(BNA)=B. TO نقطة واحدة If X = (A, A, = (-1- i,1+i), iEN }, then nA = empty set. F…

A: 1 If A⊆B. Check whether U∩A∪B∩A=B Take LHS  U∩A∪B∩A=A∪B∩A    ∵[A⊆U]=A∪A          ∵[A⊆B]=A The…

Q: 20 Let A = 11 then A-1-

A: Given: A matrix A=2011. To find: A-1

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

A: Given the interval is Ai=i, i+1, i=1, 2, 3, . . .  We have to find A1∪A2∪A3∪A4.

Q: If m|n then lcm(m,n) = n. :Select one True False

A: Given m|n Hence n=am , where a is some integer Therefore nis a multiple of m

Q: 4 400- Let v₁ V2 3 Is u in Nul A? O No O Yes 4 3 V3 1 6 and u = - 6 3 Determine if u is in Nul A,…

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Q: ¬(PVQ) ⇒ ¬P ^¬Q.

A:

Q: could you explain if option 14 is correct: the one attached

A: As per the question, we are tasked with minimizing the cost of meeting daily workforce demands for…

Q: does AI = A hold or not?

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Q: Let x and y be non-negative reab· show that, use Proof by Contradietion X+4 2

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

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Q: ) Let amd b= 2. 345 2345 3 5 a3D be tuo Pen utations. Then a b = (1 5)(

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Q: B is O A. P(Reject Ho | HA is true) O B. P(Fail to Reject Ho | Ho is true O C. P(Reject Ho I Ho is…

A: Given: β is provided

Q: i. ii. iii. Determine whether the formulae below are tautologies (A → ((¬B) V C)) → ((¬A) → B) (A →…

A: The truth table is defined as a tabular representation of the expression of all the combinations of…

Q: Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on…

A: We have given that  Let x = the number of non zero digits in a randomly selected 4 digit PIN that…

Q: let it be T=11,2,3 } S:la,b,c] Proved P(TNS)E P(S)NP(T)

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Q: tet{ TilieIs be a Tafotagies on family seI LAre UiTi enrili fot Fo fotogies an X2

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