Given the universal set U = {a,b. A = {t, r,i,a,n,g,l, e, s}, B = Find: • (AU(BOC)) ● ((Aºn B) nC) ((AUBUC)-U)

Q: Let U=(1, 2, 3, 4, 5, 6, 7), A=(1, 3, 5, 7), and B=(2, 5, 7). Find the set AnB AnB= (Use ascending…

A: Note: The complement of set A is defined as a set that contains the elements present in the…

Q: 10. Let A, B, and C be sets. Use the identities to show that (A U B) n (B U C) n (A U C) = Ā n Bn T.

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Q: Simplify Z = [(PNR) u ā] n (PU Q) n P - R using set identities Q]

A: Set Identities:-Commutative law:- A∩B=B∩A  and  A∪B=B∪AAssociative law:-   A∩(B∩C)=(A∩B)∩C  and…

Q: 3. Describe span S if: a) S= {(1,1); (2 ,6); (7,12)} b) S= {(1,0,2); (3,2, –7); (–1,–2,11)} c) S=…

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Q: Prove: For all sets A, B and C, (AUB) - (CA) = AU (B-C).

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Q: Let A, B, and C be sets. Prove (AUB)NC= (ANC) U(BNC)

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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: 1) For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A= {1,3,5},B = {1,2},C =…

A: The given universal set is                                          U={1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Use an element argument to prove that for all sets A and B, (An B) U (AN BC) = A. %3D

A: I have proved that sets on both side are subsets of each other and ten concluded that they are equal

Q: Which of the following statements are true for all sets A, B, and C?

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Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Find the value of a for which V= 2 a 5 is in the set a= H = span -5 3 5 0 -3 -5 0 -2

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Q: If u = 7 then uu? and u'u =

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Q: a) Let A = {4, 7, 8} and B = {−1, 5}, Find and compare sup(A+B) , inf(A+B), sup(A)+sup(B),sup A -…

A: See the attachment

Q: Prove.

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Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

Q: According to Bayes' Theorem, letting p = P(A), q = P(B), r = P(A|B), we can express P(B|A) as...…

A: Given that P(A) = p P(B) = q P(A | B) = r

Q: A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 200, n(B) = 160, and n(A N B)…

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Q: A = ({0} U {x |x € Z* and x < 4}), В 3 30, 1, 3, 5, 7}, and C = ({0} U{x| x E Z* and x is even and x…

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Q: For set S, the notation S' denotes the complement of S. Which set below has the following Venn…

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Q: Using these sets, find the following: DU (EU F) D = {b, a, c, k} E = {t, a, s, k) F = (b, a, t, h).

A: Given, D=b,a,c,kE=t,a,s,kF=b,a,t,h D∪E∪F is to be determined.

Q: Let  Z∼N(0,1) . Then  P(Z>−0.73)  is     A.) 0.7673     B.) 0.4757     C.) 0.9418     D.) 0.6215

A: Given: Z~N (0,1)

Q: Consider (Power set of R, c). Let B= {{3},N,Z,Q,R-Q), then Sup(B)= %3D O a. R O b. Q O c. R-Q Od.…

A: Consider Power set of R, ⊆ Let B=3, N, Z, Q, R-Q then SupB is the set S∈Power set of R such that…

Q: There is a set X= {1,2,3,4,5). find The Sets A. B₂C Such B≤X. CEX. (AUB) ≤ (ANC) and That A≤X C & B

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Q: 2. Find a set A such that A = {2, JA]}.

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Q: Y D Prox

A: Product of two sets

Q: Prove: For all sets A, B and C, An (B-C) = (ANB) - (ANC).

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Q: Let A (1.2). B (1,3,4) C (2.3.4) and U = (1.2,3,4,5). if Pis denoted to the power of sets, then…

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Q: Let: U={a,b, c,d, e, f, g} and to A= {a,b,c,d} B={C,d, e, f} C={a, e,g} %3D Find the set or…

A: Solution: From the given information,

Q: (iv) Prove that for any sets A, B,C we have A U (B nc) = (AU B) n (AUC)

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Q: A CU (A - B) в) BU (C - A) с) в - (АС) BU (A - C)

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Q: (m) W ) Given A, Be {sets}, V AC B, A – B= A.

A: Given: A,B∈sets and A⊂B since A⊂B⇒A-B=ϕ we have to prove A-B=A So, these will happen when A=ϕ So,…

Q: looc 7. Given sets A, B and C prove or disprove that (AB) U (B-C) = U (B-C) = (A-C)_

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Q: Let 4, B, and C be sets. Show that а) (А — В) — С сA-C. b) (А — С) n (С- В) 3D0.

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