II. Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {2, 4, 6, 8, 10}, B = {8, 9, 10, 11}, C = {3, 6, 9}. 1 Describe the universal set U using the roster method. 2 Find n(B c ∩ C). 3 Find (B \ C) ∩ A c . 4 Find (A ∩ C) c ∩ B. 5 Find (A ∪ C) ∩ B. 6 Find (A ∩ C) × B. 7 Illustrate the relationship among sets U, A, B and C by a Venn diagram.

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 = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

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: Let U = {a,b,c,d,e,f,10,11,12,13,14,15}, X= {a,b,c,10,11,12}, Y = {b,d,f,11,13,15}, and Z=…

A: According to the given information, we have…

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: 18 Let U={1,2,3,4,9}, A={2,3}, and B={4,9}. In each of the following questions, find the indicated…

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Q: LetA={1,2,3,4,5},B={0,3,6}, andC={0,2,4,6}and let the universal set beN. Determine all ofthe…

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Q: Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated…

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Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

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: The sets are as follows, U={4,5,6,7,8,9,10}A={4,5,6,7}B={4,5,8,9}C={6,8,10} The union of set A and…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: A universal set U with 48 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”.