Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, d, f, g}, B {a, c, f, i}, and C = {a, g, h, i} %3D List the elements of the set (A n B) UC

Q: Let the Universal set be the letters a through j: U = (a, b, ..., i, j]. Let A = {b, c, d, j}, B =…

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Q: et A and B be sets. Show that if AUB=U, then ACB. (Note: U is the universal set.)

A: A universal set (usually denoted by U) is a set which has elements of all the related sets, without…

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Q: ) (AO B) © (A^ B) = A UB.

A: Introduction :

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, c, d, j}, B =…

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Q: Find the total number of proper subsets of  A?

A: Given Data: Set: A=j, r, L, k, g   The set A is consists of five elements. (a)   The total number of…

Q: Consider the following sets: U = {a, b, c, d, e, f,g,h, i,j,k} А %3D (а, b, с, d, e } B = {a,b, c} C…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, g, i, j}, B =…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {c, e, h, j}, B =…

A: Given : U = { a,b,c,d,e,f,g,h,i,j} A = { c,e,h,j }  B = {d,e,f,h}  C = { b,c,f,h }

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Let A, B, and C be sets. Using Venn Diagram and Set identities, show that a) (A∪B)⊆ (A∪B ∪C). b)…

A: Follow the steps.

Q: Consider the sets to answer the attached photo: A = {a, b, c, d, e, f, h, j} B = {a, b, i } C = {f,…

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Q: Let U= x≤14 U = {x ∊ N | x ≤ 14 } be the universal set and the other sets A,B, and C are A = {1, 2,…

A: Given:

Q: Let A, B, and C be sets. Show that (A − B) − C = (A − C) − (B − C).

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Q: Let the Universal set be the letters a through j: U= {a, b, ..., i, j}. Let A = {e, f, h, j}, B {d,…

A: Ans - Given,          The Universal set  U = {a, b, c, d, e, f, g, h, i, j}          A = {e, f, h,…

Q: Let the Universal set be the letters a through j: U = {a, b, .., i, j}. %D Let A = {a, d, f, g}, B =…

A: The universal set U is defined as, U = {a, b, c, d, e, f, g, h, i}.

Q: le Let A, B, C be sets. By drawing Venn diagrams, determine if the following statements are true or…

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Q: Sets B and D are subsets of the universal set U. These sets are defined as follows. U={f,q,r,x, y }…

A: We have to find operation

Q: Let A and B be subsets of a universal set U and suppose n (U) = 275, n(A) 100, п (В) = 70, п (An B)…

A: If A is subset of universal set U, then n( Ac ) =n(U)-n(A).

Q: Use the given sets to find ||A∩B|||A∩B|. U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

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Q: Write the indicated set in terms of the given sets S: the set of all customers; A: the set of all…

A: We are given that :- S: the set of all customers A: the set of all customers who owe money B: the…

Q: Sets B and D are subsets of the universal set U. These sets are defined as follows. U={f,k,m, s , y…

A: Given :U=f,k,m,s,yB=f,k,yD=f,k,m

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. %3D Let A = {c, d, f, g}, B…

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Q: Make Venn diagrams for A U C and Cu (A ¥ B). a. What can you conclude about whether one of these…

A: VENN DIAGRAM: The Venn diagram of A∪C will be as follows:

Q: The universal set is U with n(U)= 70, A and B are subsets of U with n(A)= 55, n(B)= 20 and n(A’…

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Q: Sets C and D are subsets of the universal set U. These sets are defined as follows. U = {m,r,x, y,…

A: Complement of set C is C'=U-C={m, r, x, y, z}-{m, y, z}={r, x} Complement of a set D D'=U-D={m, r,…

Q: List the elements of the given set. the sets (A N B) UC and A N (BU C), where A = {1, 2, 3, 4}, B =…

A: use operation of sets to find the desired results

Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

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) ^…

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Q: Does the set S = {(1,2, 3), (0, 1, 2), (-2,0, 1)}span R³? %3D O Yes O No

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Q: Let U = {a,b,c,d,e,f,17,18,19,20,21,22}, List the members of the set X'nY', using set braces. X =…

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Q: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: Find the intersection of the sets. {r, e, a, l}∩{l, e, a, r}

A: Given:A=r,e,a,lB= l,e,a,rIntersection set:The set containing all elements of A that also belong to…

Q: Sets B and D are subsets of the universal set These sets are defined as follows. U={f,k, m, q ,r, s,…

A: (a) Find D' as shown below: D'=f,k,m,r,s Find B∩D'. B∩D'=k.m

Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set…

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Q: Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b)…

A: We need to use set builder notation to give a description of each ofthese sets {0, 3, 6, 9, 12},…

Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set…

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Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {e, f, h, j}, B =…

A: Ans - Given,            U = {a, b, c, d, e, f, g, h, i, j}           A = {e, f, h, j},  B = {d, f,…

Q: Set B and the universal set U are defined as follows. %D U= {f, g, h, p, q, r) B= {g, p, r} Find the…

A: we have given B = f,g,h,p,q,rU=g,p,r

Q: the Universal set be the letters a through j: U = {a, b, ., , J}. Let A = {C, e, f, 1), B = {b, c,…

A: Given that  Universal set : U = {a, b, c, d,....... i, j } A={c, e, f, i} B={b, c, g, i} C={b, c, d,…

Q: Given: P = {a, b, c, d, e, f, g, h, i) and Q = (c, f, h, o, u} List the elements of the following…

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Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Let A and B be subsets of a universal set U, n(U) = 80,n(A' O B') = 12,n(B – A) = 23,n(An B) = 19.…

A: Given Data: nU=80 nA'∩B'=12 nB-A=23 nA∩B=19 Using the De morgan formula, The number of elements of…

Q: Have a look at the following sets. A = {x, y, z, t}, B = {s, t, u, v, w, x}, C = {t, v, u, s}, D =…

A: Given sets are, A=x,y,z,tB=s,t,u,v,w,xC=t,v,u,sD=s,t,u,v Let,   A⊆B   : A is a subset of B i.e.…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. %3D Let A = {a, e, g, j}, B…

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Q: Let U be a universal set with subsets A and B such that n(U)=117, n(A)=60, n(B′)=68, n(A∩B)=15,…

A: Given,n(U)=117n(A)=60n(B')=68n(A∩B)=15n(B)=49and n(A∪B)=94

Q: Consider the two sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is…

A: Given :               The sets A = a,e,i,o,u   and B = c,m,n,r,s,v,w,x,z

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, e, f, i}, B =…

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Q: Given U = {a,b,c,d,e,f,g,h,ij}, A = {b,d,f,hj} B = {e,f,g,h,ij} find the following sets. a.…

A: Here, the given sets are: U=1,b,c,d,e,f,g,h,i,jA={b,d,f,h,j}B={e,f,g,h,i,j}