(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: Suppose P(A) P= 0.3, P(B) = 0.4 and P(A ∩ B) = 0.12. Which of the following is Correct? A) P(A U B)…

A: The probabilities of the events are given as follows:

Q: True or False and Why. {{1}, {42}} = {1, 42} U{{1}, {42}} = {1, 42} U{1, {1,42}} = = is What? Why?

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

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

Q: Consider the following. Find Av. Av = A = 10-1 1 1 1 = 7 -1 Complete the following statement. Since…

A: Given that A is a 2X3 matrix and v is 3X1 vector so product is possible. The null space of A,…

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: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: Let U={10,20,30,40,50,60,70,80.90,100}, A={20,40,60}, B={40,80,90,100}, and C={30,60,70,90}. Find…

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Q: Which of the followings are false? I. General term of {2,3,2,3,...} is an =;+(-)". . General term of…

A: The details solution is given bellow.

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 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: Let A, B, C subset U. Suppose that n(U)= 90, n(A)= 40, n(B)= 55, and n(C)= 20. Which of the…

A: Answer

Q: does AI = A hold or not?

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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: P(X=x) 0,10 0,20 0,30 0,40 X 3 4 18 - 5 P(3 s X <4)= ??? O A) 0,30 B) 0,20 C) 0,50 D) 0,40 O E) 0,10

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Q: 1 41 7, then prove that A = A. -8 4 7. If A = 4 4 1

A: Given: A=19-8144471-84

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: A and A' ( its complement) are disjoint a) True b) False

A: Let the universal set be U = {1,2,3,4,5,6} A = {1,2,3}, B={4,5} A' = U - A = {4,5,6}

Q: а) (A u B) = AnB b) (ANB) = AU B

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Q: Fin Sup(S) and Inf(S), Where 1 S = {1. п

A: Consider the set S=1, 12, 13, ... , 1n, .... Observe that as the value of n approaches to infinity…

Q: Q3) it s'ss then s is closed.

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Q: Q 14 % let Then A= 4 11A11₁ =1|A|| a) True b) false

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Q: 1) UA 7-1 | Let A = (0, 1, 2, 3,..., for i = 1,2,3,.... Find 2) ۸ hal

A: Given ,   Ai =  0 ,1 ,2 ,3 ,.......i  for i= 1,2,3...... Then find  1  ∪i=1nAi     2    ∩i=1nAi