Let the universal set be the 26 letters in the English alphabet, and let A = {a, b, c, d}, B={c, d, e} and C = {y, z}. List the following in increasing order а. |А х В b. |P(B)| c. |AUBUC| d. |AN C|

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: et D=(4,7,9}, E=(4,6,7,8) and F = {3,5,6,7,9}. ist the elements in the set (DUE) NF.

A: Let D={4,7,9} E={4,6,7,8} and F={3,5,6,7,9}.

Q: Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x ∈ Z:…

A: Given: The sets are: A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z: x is oddD=x∈Z: x is positive To find: The set…

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: Given:A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z : x is oddD=x∈Z : x is positive To find: A∩D Also, express…

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: Find the complement of the set given that                                                     U = {x…

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Q: Find the set An U. U={q, r, s, t, u, v, w, x, y} A = {r, w, y} B={s, t, v} C = {s, u, v, x, y}…

A: Given information U=q,r,s,t,u,v,w,x,y A=r,w,y B=s,t,v And C=s,u,v,x,y. We have to find the A∩U. Now,…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A = {1, 2, 3, 8}, and B = {1, 2, 3}. Find the set An B. AnB =…

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

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: Use the Venn diagram shown to list the set BUC in roster form. U 22 10 12 6 13 19 18 B 9 BUC = {}…

A: Let B and C be two sets then the set union of B and C is denoted by B U C and is defined by  B U C =…

Q: 5. 10 cars are to be parked in an open field containing 20 parking spaces set out in two rows of 10.…

A: How many different patterns of unoccupied spaces are available if :-

Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

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Q: Let U = {0,1,3,5,6,7}, A = {0,3,5,7}, B = {0,3,5,6,7}, and C = {0,5,6}. Find each of the following:…

A: A set is defined as a collection of  various well defined distinct objects or entities which may be…

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c…

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Q: Q17D. Define the sets A, B, C, and D as shown. Find (An C) U (B n D). A C C

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Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Q14B. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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Q: Let U = {3,5,6,9,10,11,15,16,17). Determine the complement of the set {3,5,6,10,11,15,16,17}. The…

A: Given that the sets U=3,5,6,9,10,11,15,16,17Let  A=3,5,6,10,11,15,16,17  .

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Which elements are in the set X = {u E Z |u s 4 or u 2 1}? Select one: a. {1,4} b. {2, 3} c. {1, 2,…

A: Given below the detailed solution

Q: Given A={-4,0,11}, which elements of set are less than -1?

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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”.