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…

A:

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: If f(x)= Jx and g(x)= 2x+5, then state the domain of (gof \x).

A:

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 S be the universal set, where: S= {1, 2, 3,..., 18, 19, 20) Let sets A and B be subsets of S,…

A:

Q: Let the Universal set be U = (1, 2, ., 20), A= {2, 5,10,18) and B = {5, 10, 9,7} %3D f(A-B) (2) Aea…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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…

A:

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…

A:

Q: the sets A {1,2,3,4,5), B = {3,4,5,7) and C= {2,4,6,8). Then the set (An C) B is a) {3,5} b) {3,5,7}…

A: A= 1,2,3,4,5 B = 3,4,5,7 C = 2,4,6,8

Q: Q26. Which subset immediately precedes the subset {X7, X5, X3, X2, X1} of the set S= {X7, X6, X5,…

A: Total number of subset of S =2^8 = 256 Now let's find subsets having 5 elements. {x7,x6,x5,x4,x3}…

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

A:

Q: Answer the following True or False. (a) {1,2,3} is a subset of {3,2, 1, 4}. (b) {3,2, 1, 4} is a…

A:

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 AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

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…

A:

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

A:

Q: 1. If A = {1,2,3, 4}, B = {3,4, 5, } are the subsets of a universal set U = {1,2,3, 4, 5, 6}, find…

A: Given that  A={1,2,3,4} and B={3,4,5} are the subsets of the universal set U={1,2,3,4,5,6}.

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”.