U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} Let sets A, B, and C be subsets of U, where: A = {1,3, 6, 7, 8, 9, 10} B = {4,7, 9, 11, 13} C = {2, 4, 5, 6, 8, 11, 13}

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

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Q: U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all…

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and T= {1,3, 7}. Find T'. O T = {2, 4, 5, 6, 8,9, 10} OT =…

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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 U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and E = (0, 2, 4, 6, 8} and P = {2, 3, 5, 7}, then the…

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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)}. %3D f2 =…

A: Given that:

Q: Let U = {-5, –4, –3, -2, -1,0, 1, 2, 3, 4, 5} be the universal set, and let A = {-5, -4, -3, -2,…

A: Note:- In given problem, notation used for sets are different in information and problem (sub…

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 U=​{q,r,s,t,u,v,w,x,y,z}, A=​{q,s,u,w,y}, and B=​{q,s,y,z}. List the elements in the set (A ∩…

A: we know that , X ' = U - X

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

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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: Let U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. List all the…

A: Given, U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. (A ∪ B) ∩ C…

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

A: It is given that,   U = {a, b, c, d, e, f, g, h, i, j}   A = {a, c, e, g, i}   B = {a, c, i, j}   C…

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}  List all the…

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Q: Let U={1,2,3,4,5,6,7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10}. Then P(B-A) *…

A: A=1, 2, 3, 4, 5, 6  &  B=1, 3, 5, 8, 10 Now, B-A=1, 3, 5, 8, 10-1, 2, 3, 4, 5, 6=8, 10

Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given universal set is, S={1,2,3,...,18,19,20} and the sets A&B are, A={1,4,6,11,12,14,18,19,20}…

Q: Let U ={1,2,3,....,18,19,20} be the universal set. Let sets A, B, C be subsets of U, where: Set A…

A: Given  Set A = {1,5,6,8,12,15,17} Set B = {4,5,7,8,11,12,13,19,20}Set C =…

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}.…

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Q: Let  U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17} A={1,2,3,7,9,11,13,14} B={2,3,6,8,11,12,15,16,17}…

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Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given, Universal set S=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 Two subsets A and B are…

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

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Q: Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List…

A: We have to find given sample space.

Q: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. List all the…

A: Given, U=4,5,6,7,8,9,10  A=4,5,6,7 B=4,5,8,9 C=6,8,10  We have to find all the members of set…

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: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: S={1,2,3,...,18,19,20} A={2,5,6,8,9,14,16,20} B={2,4,5,6,7,8,14,16,18,19}

Q: Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

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Q: Let the universal set, U={1,2,3,4,5,6,7}U={1,2,3,4,5,6,7}, A={1,2,4,5,6}A={1,2,4,5,6}, and…

A:

Q: Let U = {q, r, s, t, u, v, W, x, y, z}, A = {q, s, u, w, y}, B= {q, s, y, z}, and C= {v, w, x, y,…

A: To determine the elements of the set shown below.

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

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Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

A: A proper subset of a set A is a subset of A that is not equal to A.Or in other words, if B is a…

Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}. Select Ac from the choices…

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Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

A: The universal set is given by, U = {a,b,c,d,e,f,g,h,i} If X is a set from the universal set U. Then,…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Let C = {1, 2, 4, 5, 7, 8, 10} and let…

A: C'=U - C

Q: Let U-(1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A-(1, 3, 5, 7, 9), 8-(2, 4, 6, 8, 10), and C-(2, 3, 5, 7, 8,…

A: Follow the procedure given below.

Q: Let S := {l, a, t, e, r, a, l}. How many subsets does S have?

A: Given: S = {l, a, t, e, r, a, l} Here, number of elements is n = 7.

Q: Let U = {1, 2, 3, 5, 6, 7, 9}, A = {1, 5, 7}, and B = {1, 2, 3}. What is the set (An B)°? O {2, 3,…

A: Sets and relations

Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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

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Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} List…

A: Here we list all the elements of the set .

Q: Let U = {1,2,3,4,5,6,7,8,9,10} Let A = {1,2,4,6,9} Let B= {1,3,4,5,8} Determine (A - B)'

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Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. %3D…

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Q: Let U = {1,4,5,8,9,10,13,15,16}, X = {4,8,10,15}, Y = {4,5,8,9,10}, and Z = {1,4,5,15,16}. List the…

A: Given:     U=1,4,5,8,9,10,13,15,16    X=4,8,10,15    Y=4,5,8,9,10  Z=1,4,5,15,16 Find:…

Q: Let U={1,2.3,4.5.6.7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10} Then P(A-B) O…

A: Given, U=1,2,3,4,5,6,7,8,9,10 be the universal set. Also A=1,2,3,4,5,6 and  B=1,3,5,8,10. Now we…

Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

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

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

Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets AA and BB…

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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: 1. a. Is {{a, d, e}, {b, c}, {d, f}} a partition of {а, b, с, d, e, f}? b. Is {{w, x, v}, {u, y, q},…

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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”.