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

A:

Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

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

A:

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

A:

Q: Given the relations on the set of real numburs, &, - E(G,6) ER; a>b3, Rq = {CaL) EE, az6} Rs ={(a14)…

A: GivenR1=a,b∈R2 , a>bR2=a,b∈R2,  a≥ba) we know that R1+R2 contains thoseelements which are either…

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…

A:

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: 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: 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: Samas (:])-[-] - (M)-[:] L (1) a) why do you know as compute given. {0.00} solve using system…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: For all sets A, B, and C, prove that (AUB) - (CA) = AU (B-C) Please indicate the reason for each of…

A:

Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

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)…

A:

Q: Name the set identity that is used to justify each of the identities given (a) (BNC) UBNC=U (b) AU…

A:

Q: (1) In the universal set U ={1,2,3,4,5} we define the following sets: A ={1,2,3}, B = {3,4}, and C =…

A: Note: You have posted a question with multiple subparts. We have solved the first three subparts for…

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

A:

Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

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…

A:

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

A:

Q: 3. (10 points) a) Use an element proof to prove the following: for all sets A and B, A - (ANB) = A –…

A: The detailed solution is as follows below:

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: 6. Let A = {1,2, {1}, {2}}, B = {0, {1, 2}, {2, {2}}}, and C = following: {1,2}. Find each of the…

A: That's easy. Have a great day!!!

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

A:

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)

A:

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

A:

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

A:

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

A:

Q: Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blankspaces:(i) 5. . .A…

A: (i) 5  ∈   A      because 5 is present in  A   (ii) 8 ∉  A       because 8 is not present in  A…