5. Answer the following questions: a. Write the set (6,11,18,27) in the set-builder form. b. Write the following set in roster form: A-{x:x is any two elements that belong to natural number such that the sum of its elements is 9)

Q: 4. Write out the following sets, and give a formal proof that set-builder notation expression (as…

A: The set builder notation is given as, {x∈ℝ: x2=x} × {x∈ℕ : x2=x} As in the case of real numbers all…

Q: Given a universal set U and three sets A, B and C, subsets of U. Prove that the expression A ∪ B ∪…

A: Given: The three sets A, B, and C,  are the subsets of U and U is the universal set

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: 2. Classify each set as closed, open, or neither. Justify your answer. A= {-+:nEN} E. 1-:] [0, 1)

A:

Q: Let A and B be two sets with a finite number of elements. Show that the number of elements in An B…

A: Given A and B are two finite sets. To show that the number of elements in A∩B plus the number of…

Q: 2. Use the set builder notation to give a description of each of the following sets: 1 2 3 4 5 2'3'…

A: Given

Q: 5. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: The set of elements common to both set A and set B is called the of sets A and B, and is symbolized…

A: The set of elements common to both set A and set B is called the ________ of sets A and B, and is…

Q: Which of the following is the correct representation of A = (2,4,8,16,32,. } in set builder…

A: A detailed solution is given below

Q: For an element to be in the intersection of sets A and B, the element must be in set Am in set B.…

A: Any elements of A intersection B must be in set A and in set B

Q: If a universal set contains 250 elements,

A:

Q: Let Aand B be non-empty sets such that |A|>|B|.If the number of elements in A∪Bis atmost 42 and at…

A: Let the number of elements in A is a , hence, |A|=a . Let the number of elements in B is b , hence,…

Q: display that if A is an infinite set, then whenever B is a set, A ∪ B is also an infinite set.

A:

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

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…

A:

Q: 1. Write the following sets in roster form: (a) Set A is a set of natural numbers between 10 and…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: 10. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: (iii) ((A – B)UC – D) specified using set builder notation without any word -

A:

Q: The symmetric difference of sets A and B, consists of those elements which belong to A or B but not…

A:

Q: Determine if the following statements are true or false. Here A represents any set. (a) oCA (b) A'CA…

A: Here let us consider A to be any set which consists some elements U is a universal set  A' is a…

Q: b. Define the finite and infinite sets in your own words and give example for each set.

A: We use the definition of finite and infinite set to answer the given question.

Q: 8. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A: Define A={1,2} and B={1}.

Q: If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10…

A:

Q: Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U. B. h, p Find…

A:

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: Let U be the set of restaurants in Los Angeles, B be the set of barbecue restaurants in Los Angeles,…

A: Given Information -  U is the set of all restaurants in Los Angeles B is the set of barbecue…

Q: or any of the sets id, bic it a,bsCthen a b anteo

A:

Q: 19. If A={People who live in Colorado} B={People who live in Denver}, draw a Venn diagram relating…

A:

Q: Prove for every two sets A and B that A∪B= (A-B)∪(B-A)∪(A∩B)

A:

Q: Determine whether the following set equivalence is true (AU B) \ (ANC) = BU (A\C)

A: Consider the RHS of the given equation. B∪A\C=B∪A∩Cc  Apply the rule  A\B=A∩Bc=B∪A∩B∪Cc…

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A: A Venn diagram is given as follows.

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

A:

Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

A:

Q: When using Venn diagrams to verify or determine whether set statements are equal we use…

A: Deductive reasoning, also deductive logic, is the process of reasoning from one or more statements…

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

A:

Q: Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and…

A: Given Information: Universal set S has 190 elements. Set A contains 95 elements. Set B contains 78…

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} 2) (2, 3, 5, 7, 11}…

A: # we are entitled to solve 3 subparts. please resubmit the other parts if you wish to get it…

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

A:

Q: 6. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: The set of numbers between but not including 1 and 6 can be written as follows: in set-builder…

A: topic- sets

Q: Express the following set in set-builder notation. B=(13, 14, 15, 16, 17, 18, 19, 20)

A:

Q: The Venn diagram shows sets A, B, C, and the universal set U.

A: Given Venn diagram:

Q: Prove that if A ~ B then P(A) ~ P(B).

A: Consider the provided question,

Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

A:

Q: The symmetric difference of two sets A O B is the set of elements that are in either the set A, or…

A: The aim is to show that, A⊕(B⊕C)=(A⊕B)⊕C It is known that, A⊕B=A∪B-A∩B So A⊕(B⊕C) can be written as,…

Q: Which of the following is the correct representation of A = (2,4.8.16.32. in set builder notation? A…

A:

Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…

Q: Let the Universal Set, S, have 120 elements. A and B are subsets of S. Set A contains 92 elements…

A: Universal set s=120 elementsSet A=92Set =27elemants in  A and B=21