Given the sets A=[3,4,5,6,7,8,9,10,11], B=[1,2,3,4,5,6], and C=[2,5,7,8,9] find the following  A) A ∩ B B) (A ∪ B) ∩ C C) A - C D) B - A

Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Problem 4. Do the following converge? If so, what is the limit? Prove your answer directly using the…

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Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

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Q: If A={1,3,5,7,9,11}, B={2,4,6,8,10}, and C={2,3,5,8}, then what is ((A∪C)∩B)∪(A∩C)?

A: Given setsA:{1,3,5,7,9,11|B: {2,4,6,8,10}C: {2,3,5,8|

Q: Find the sets A and B if A -B= {1, 4, 7, 11}, B-A={2, 20}, and ANB= {3, 5,19}

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Q: Consider the following two sets:   A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {–9, –6, –3, 0,…

A: The intersection of two sets A and B contains the elements that the two sets have in common.

Q: 5) Find the union of four sets AUBUCUD, given A= {-3, -2, -1, 0}, B= {-2, -1, 0, 1}, C= {2, 3, 4)…

A: To find union of given four sets.

Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: ng a die once. Let A (1, 2, 3, 4), B (2, 4, 6) %3D %3D

A: Given that  Rolling a dice once.    Let  A={1,2,3,4}  B={2,4,6} Mutually exclusive events - Two…

Q: (c) Find (A - B) - C and A (B - C). (Enter your answer in set-roster notation.) (А - в) — с : А - (В…

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Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

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

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Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

A: Since you have posted a question with multiple sub ports, we will provide the solution only to the…

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

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Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; wheren is total number of distinct…

A: Consider two sets A and B. Then the union of these two sets contain all the elements in both A and…

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: Are there sets A and B such that |A|=|B|,|A|=|B|, |A∪B|=10,|A∪B|=10, and |A∩B|=5?|A∩B|=5? Explain.

A: Given:A|=|B|, |A∪B|=10, and |A∩B|=5The Venn diagram is

Q: Let A = {Becca, Darius, Julian, Larry, Solly, Bess), B = {Larry, Solly, Darius}, and C= {Mellie,…

A: Given that                      A={Becca, Darius, Julian, Larry, Solly, Bess}…

Q: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

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Q: A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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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”.