QUESTION 3 which of the following is the power set of the set S={ a, b, c}? {Ø,S} o{0,{a}, {b}, {c},{q,b,c}} o{Ø, {a}, {b}, {c}, {a,b},{a,c}, {b,c}, S} QUESTION 4 Vhich of the following relations between sets A and B corresponds to the Venn diagrar B. A O BCA A2B O A =B O ACB AcB

Q: QUESTION 5 1. Let A, B and C be the subsets of U. Then prove that (A B)- (B - C) = A-B by using laws…

A:

Q: Rework problem 6 from section 2.3 of your text. Assume that the set S has 7 elements. How many…

A: Number of ways to choose x elements out of 7 is Cx7. Subsets of S having at most 4 elements is…

Q: QUESTION 5 Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 28, n(B) =…

A: topic - sets

Q: Question 1 10 0 1 For the set A={1,2,3} and B={a.b.c,d} , if R is a relation on the set A and B…

A:

Q: Question 9 Let A={3,5} B={2} C={2,3} D%3{1,3,5} .Find the cardinality of sum of all the sets. 0 6 7.…

A: From the given information, Consider, A , B, C and D all are provided sets. A = {3,5} B= {2} C=…

Q: QUESTION 16 Use braces to write the members of the set, or state that the set has no members. The…

A: Given that The letters needed to spell the following words: tear,rate ,rat,tea.

Q: Question 34 Determine whether the ff. proof is valid: for all sets A, B, and C, if AC B and BC C…

A:

Q: QUESTION 3 Let A, B and C be the subsets of U. Then prove that (A UB) – C = (A – C)U(B – C) by using…

A: To prove the equality of A∪B-C=A-C∪B-C it is enough to show that  A-C∪B-C⊆A∪B-C and…

Q: QUESTION 3 Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 26, n(B) =…

A:

Q: S and T are binary relations on the set {a, b, c, d} and are defined as follows: S%3{ (а, b), (a,…

A:

Q: question 5f In general, if one set S is a subset of another set T, what can you say about S ∩ T?…

A:

Q: Question 3 Suppose sets A and B are as follows: A = {a, b, f, g, h} and set B - (a, c, d, f, h}.…

A:

Q: Question 1: Let A = [(0,6) U (7, 12) n(2,9): B= A\ ({1,2, 4} U (3, 5)) and C =BU{11,8}. Give an…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: QUESTION 6 Use braces to write the members of the set, or state that the set has no members. The…

A: We use the Roster form representation of a set to answer the given question.

Q: QUESTION 17 Use braces to write the members of the set, or state that the set has no members. The…

A: Given that  The integers between 2 and 6(not inclusive).

Q: QUESTION 6 Let F(x,y): "x is friend with y", N(x). "x is funny", W(x): "x is wise", R(x): "x is…

A:

Q: 1. If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}. Determine the elements of the following…

A:

Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of…

A: Brief answer is given below.

Q: QUESTION 2 Let T be a set such that if the integer x is in T, then 2x+1 is also in T. Let integer 0…

A: From given information

Q: Question 1 Let A = (-2,4), and B = 0, ox). Choose sets that are infinite and uncountable. O B\A B nQ…

A: Use the properties of set and countable sets to solve this problem.

Q: ) Let set ? = {1,2,3,4} and let ?1 and ?2 be binary relations on ?. Specifically, let: ?1 = {(1, 1),…

A:

Q: D Question 11 1.5 pts Given a universal set containing integers between 0 and 21. Set B contains odd…

A:

Q: Question 6 For each of the relations on A ={1, 2, 3} below, {(1, 1), (1, 3), (3, 3)}, R = S = {(1,…

A:

Q: Shade B-A

A:

Q: QUESTION 6. L Consider the following relation R on the set A = {1,2,3,4,5} R = {(1, 1), (2, 2),…

A:

Q: Question 4. elements a, b, and c are distinct) Explain your answer. Which of the following are power…

A: Power set :  The collection of all the subsets of a set is called  Power set . If S be any set  then…

Q: Question 1 Suppose universal set is U = {x|x € Z, \x| < 6}. (a). A = {1,3,-2,-4}, B = {2,3,5,-1,…

A: Let A=1,3,-2,-4     and  B=2,3,5,-1,-3. A∪B=1,3,-2,-4 ∪2,3,5,-1,-3A∪B=1,2,3,5,-1,-2,-3,-4  Thus, the…

Q: Question 4. elements a, b, and c are distinct) Explain your answer. (a) Ø (b) {0, {a}} (c) {Ø, {a},…

A: The power set of a set S is the set of all subsets of S, including the empty set and S itself. In…

Q: QUESTION 1 et A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 26, n(B) =…

A:

Q: 3. Let A {-5, -4,-3, -2,-1,0, 1, 2, 3, 4, 5}, B = {-4,-2,0, 2,4}, C = {-5, -3,-1, 1, 3,5}, = D =…

A:

Q: Question 12 Select all that are True. A. O |P(A) × P(B)| = |P(AU B)| for all pairs of sets A and B…

A:

Q: Question 6 For each of the relations on A ={1, 2, 3} below, R= {(1, 1), (1, 3), (3, 3)}, S = {(1,…

A:

Q: Question 1.The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1,2,3}…

A:

Q: Example: L = {w over E = {a, b} | |w| 2 and |w| 2 and |w| 2 and |w| < 5, third charcter of w is b…

A: To determine: The strings of each language  in ascending order of word length and also give the…

Q: Example 11. Let A and B be sets. Prove the following: • An BCA • An B = BN A ACAUB • AUB= BUA

A:

Q: 5. Suppose your universal set is U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and we have the %3D %3D Find…

A: To determine the set.

Q: Given the universal set U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 } and sets A = {0, 2, 4, 6, 8,…

A: a) Answer:

Q: Proposition 2.3. Let X,Y be (topological) sets containing E and F, re- spectively. Moreover, let &…

A: Let X and Y be sets containing E and F respectively.  Suppose E and F be elementary families of X…

Q: Question 22 Suppose that U (the universal set), A and B are sets, given as shown below. U = {1, 2,…

A:

Q: QUESTION 2 Given the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9) and the sets A = {2, 4, 6, 8} and…

A:

Q: I. Let the universal set U {1,2, 3, ..., 10}. Let A = {1,4, 7, 10}, B = {1,2, 3, 4, 5}, and C =…

A:

Q: Question 9 Let A = {0, 3, 5, 11}, what is the power set of the set A Ø, {0}, {3}, {5}, {11},…

A: First I have written a short note about power set of set.As it contains all the subsets of set A…

Q: Part I. For numbers 1-5, let the universe be the set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let A =…

A: Since you have asked multipart question we will solve the first three for you. If you want any…

Q: 1. Use set identities to show that (A U B) n (B U A) = A where A and B are sets. Let A = {1,2, 3}…

A:

Q: QUESTION 6. Let A = {-42, -7, -6, -2, 1, 10, 11, 29} be a set. Define a binary relation R on A as…

A:

Q: Please!! help me with this question

A: A set A is a subset of another set B if all elements of the set A are elements of the set B.

Q: Question 15. Let R1 be a relation from A = {1,3,5,7} to B = {2,4,6,8} and R2 be another relation…

A: Given that, R1 be a relation from A = {1, 3, 5, 7} to B  = {2, 4, 6, 8}. An element a in A is…

Q: Question 8 Let S be the universal set, where: S = {1, 2, 3, ..., 13, 14, 15} Let sets A, B, and C be…

A: Given data: To find:

Q: Let A be the set of all statement forms in the three variables p, q, and r, and let R be the…

A: We have given the relation R defined on A as follows: For all S and T in A, SRT⇔S and T have the…