Find the set (AnC)'. U= {1, 2, 3, 4, 5, 6, 7} A= {1, 2, 4, 7} C= {1, 3, 5, 6, 7}

Q: List all the subsets of {x, y, z, y}.

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Q: What is the mean of the set S= (4, 10, 1, 12, 13,21)?

A: Given data set S = 4, 10, 1, 12, 13, 21.Formula for mean is,

Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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Q: Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 },              A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } andC = {…

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Q: Let U = {h, i, j, k, I, m, n, o, p} A = {h, i, j, m} B= {h, k, I, m, o}

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Q: Let A={1,2,3,4,5} and B={6,7,8,9}. Find A∪B.

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Q: Use A={4, 5, 6, 8, 9} and B={2, 3, 6, 8} to find the set A (U this is upside down) B

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Q: Find the set AUB. U= {1, 2, 3, 4, 5, 6} A = (2, 3, 4, 6} B = (1, 2, 5}

A: Using the definition of union of sets.

Q: If X = {1,3,4,19}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what Is X U (Y ∩ Z)

A: The union of two sets A and B is a set containing all elements in both set A or set B. The…

Q: Let U= {2, 6, 8, 10, 12, 14, 16, 18}, A= {2, 6, 10}, B= {6, 10, 16, 18}, and C={14, 16}. Find B U C

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Q: If X = {1,3,4,15}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what is X U (Y N Z)? а. {2,4) b. {4} c.…

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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: Let S = {1, 2, 3, 4, 5, 6, 7, 8},  A = {4, 6, 7},  B = {2, 3, 4, 8},  and  C = {2, 4, 5, 6}.  List…

A: We have to solve given problem:

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Let A, = {..., – 2,- 1,0,1,...,i}. Find

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

Q: How many subsets does the set X = {r, s, t, 10, 20, 15} have? %3D

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Q: Let A={1,2,3,4}, B={00,01,10,11}, C={x,y,z}. f1 = {(1,00),(2,01),(3,01),(3,10) (4,11)}- f2 = {(1,x),…

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Q: a) Determine whether S = {(1,0, -1), (2,1,0), (3,1, –1), (1,1,1)} spans R°.

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Q: Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find…

A: Since you have given two different questions therefore we will solve the first for you. IF you want…

Q: Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find B − A.

A: In the given question we have to find the set B-A , where A ={a,b,c,d,e} and B={a,b,c,d,e,f,g,h}.…

Q: Let U= {0, 1, 2, 3, 4, 5, ...), C= {1, 2, 3, 4, ...), and D=(4, 8, 12, 16, ...). Determine the set…

A: We have given that U = { 0,1,2,3,4,5,...} C = { 1,2,3,4,...} D = { 4,8,12,16,... }

Q: Pick ২ se+ S = } \, 2, ..., n} S= {\,2,..., h} of

A: The given information is: S=1, 2, 3, 4, 5...   ,nT=∑iXi         ,   i∈S

Q: Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and    B = {3, 4, 5}. Find A′, B′ , A′ ∩ B′, A ∪ B and hence…

A: Given: Now, The set of all those elements of U which do not belongs to A is called the complement…

Q: Let U= {q,r,s,t,v,w,x,y,z}  A={q,s,u,w,y}  B={q,s,y,z} c={v,w,x,y,z}  determine A n B'

A: Given that B={q,s,y,z} So, B'= U - B= {q,r,s,t,v,w,x,y,z}  - {q,s,y,z}= {r,t,v,w,x}

Q: n that U={1,2,3,...,18,19,20}U={1,2,3,...,18,19,20}…

A: It is given that,…

Q: Let: U = (a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B). O (a,…

A: Given that,U=a, b, c, d, e, f, g, h, iA=a, c, d, f, g, hB=b, c, d, e, iThe set A∪B' is determined as…

Q: determine whether set s={(2,1),(-1,2)} spans R^2

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Q: Find the following sets: U= {1,2,3,4,5,6} S = {2,4,6} T= {1,2,4} V= {4,5,6} 33. S U (T ∩ V)…

A: As per our guidelines we can help you in solving only first three subparts, Rest of the problems you…

Q: With U={1,2,3,..,9,10} and A={1,2,3,4,5} B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine C' u D'…

A: Let X be the universal set and A be a subset of X. Then the complement of the set A is denoted as A'…

Q: Let A = { 2, 4, 6, 7}and B = { 1, 3, 4, 5, 7 }. Find A N B. * ANB = {1, 2, 3, 5, 6 } O ANB = { 1, 3,…

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Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A - B

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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: what is M.A.D of the set,  1,1,2,3,3,4,7

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Q: Let U= {a, b, c, d, e, f, g, h, i, j, k}. Let A = {a, b, f, h, i, j}. Let B = {a, c, d, h, j}. Let C…

A: Consider the given sets, U=a,b,c,d,e,f,g,h,i,j,kA=a,b,f,h,i,jB=a,c,d,h,jC=a,d,f,g,j We need to…

Q: (а) T(г, у) — (т, -у); (b) T(г, у) — (2г, 5у): (с) T(т, у) — (т+у, y):

A: We have to find the canonical form of the linear transformation. We choose the canonical basic for…

Q: 1. O, T, T, F, F, S, S,... 2. M,2,8,M,.

A: Given: To identify the patterns given1. O, T, T, F, F, S, S, . . .

Q: Let U = {m,a,t,h,e,w,d,i,n}   X = { e,w,m,a,t}              y = {e,w,d,i,n}            Z= {h,e,w}…

A: U = {m, a, t, h, e, w, d, i, n}   U= Universal set X = {e, w, m, a, t}              Y = {e, w, d, i,…

Q: How many ordered pairs (A, B), where A, B are subsets of {1,2,3,4,5} have: 1. A  ∩ ? = ∅ 2. A U B…

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Q: Let u = (1, 2, 3), v= (2, 2, –1), and w = (4,0, –4). Find u – v+ 2w о (3,0, 0) о (7,0, —4) о (11,4,…

A: Given that  u=(1, 2,3) V=(2, 2,-1) and W=(4, 0,-4)

Q: {A, C, D, E, F, G,H,J,K {J,K} {A, G,J, K} SCDER HIY

A: The intersection of math club to beta club is expressed below Math club {A, G, J, K} ∩ Beta club {C,…

Q: Let  U = {1, 2, 3, 4, 5, 6, 7, a, b, c, d, e}.  If  A = {1, 2, a, e}  and  B = {1, 2, 3, 4, a, b,…

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Q: Let X = {o, s, v}, Y = {c, d, e, i}, and Z= {0, 3, 6, 8, 9}. Let f : X → Y where f = {(o, c), (s,…

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Q: Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, Set B = {1, 2, 3, 4} and Set C = {6, 7, 8, 9} then show; A –…

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Q: ,י.,יV If z,.z, EC then Z,+Z,=Z,+Z20 z,+Z,=00 Z Z,=0-Z,=0 or z =00

A: given two complex numbers

Q: Let U={1,2,3,4,5,6,7,8}, A={2,4,6}, B={1,2,5,8} and C={1,3,7}, find [(A'∩B)∪(A'∩C')]∪(A∩B)

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Q: Let U = {a, c, e, h, m, o, p, s, t, u, y, 0, 1, • } А 3D {с, h, о, р, s, и, e, y} B = {s, e, t} С 3D…

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Q: Find the set A UØ. U= {1, 2, 3, 4, 5, 6} A=(3, 4, 5, 6}

A: Given, U=1, 2, 3, 4, 5, 6, A=3, 4, 5, 6

Q: If A × B = {(a, x), (a, y ), (b, x ), (b, y)}, find A and B?

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.