Describe the universal set and subset shown in the figure below.

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

Q: Define the given set using rule method or set builder notation: B = { April, June, September,…

A: In Roaster method, a set is represented by listing all the elements of the set and the elements are…

Q: Select the collection of sets that forms a partitic

A: Introduction: A set of disjoint subsets of another set. The original set must be equal to the sum of…

Q: Write a set using roster notation the set of the letters in the word indistinguishability

A: According to the given information it is required to write a set using roster notation the set of…

Q: Express the set in set-builder notation {24, 32, 40, 48,....,88}

A: Consider the given set. Rewrite the elements of sets as the multiple for 8. Given set=24, 32, 40,…

Q: Define Open set ?

A:

Q: Which set has higher cardinality: N or Z? Explain with example

A: Cardinality: The cardinality of a set A is the number of elements present in the set A. We denote…

Q: Build a Venn diagram. •Use the names of the sets to label the regions. •Place the numbers in the…

A: Venn diagram of given set is shown below :

Q: Write the following sets in set-builder notation. There may be more than one correct…

A: To Write the following sets in set-builder notation.

Q: Specify the set by roster.

A:

Q: True or False If A is a set, the complement of A is the setof all the elements in the universal set…

A: Complement of a set A: Consider a set A. Then the complement of the set A is the set of all elements…

Q: List all the elements of the following set. Use set notation and the listing method to describe the…

A: List all the elements of the following set. Use set notation and the listing method to describe the…

Q: Let S be a set containing 700 elements. which is greater, the number of subsets of S having 400…

A: Let S be a set containing 700 elements. We have to justify, Which is greater, the number of subsets…

Q: Use the roster method to list the elements in the set: The distinct letters of the word "senses".…

A: List the elements in the set.

Q: Find the number of subsets of the given set.

A: Set A = {1,2,3,4,5,6,7,8,9}              The number of elements , n = 9

Q: Let the Universal Set, S, have 89 elements. A and B are subsets of S. Set A contains 37 elements and…

A: Given that :  S have 89 elements A have 37 elements B have 30 elements A and B have 25 elements in…

Q: Create a reflexive portfolio in pdf format, showing screenshots of news headlines that illustrate…

A: We will discuss about concepts of sets logic and number system

Q: Explain what is a finite set. Give relevant example along with.

A:

Q: 5. Let S be a set containing 8 elements. What is the number of subsets of S containing at least two…

A: Question 4: A relation ~ on set N of natural numbers. For natural numbers, n and m,  n~m⇔ϕn=ϕm. To…

Q: Using the fact that "a countable union of countable sets is countable", show that the statement that…

A: Please see the below picture for detailed solution.

Q: Describe a set in terms of A and B (using set notation) which has the following Venn diagram. (image…

A: the set notation for the given diagram is given below:

Q: Define the element of the given set using the specified rule: a. Ris a set whose members are all the…

A:

Q: 7. (i) Show that the countable union of countable sets is a countable set. Give an example of such a…

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

Q: From the list below, choose ALL sets that have g as a member. {{ø}} O (0} U{Ø} O (Ø)-{{Ø}}

A:

Q: Let the Universal Set, S, have 114 elements. A and B are subsets of S. Set A contains 31 elements…

A: Universal set, S have 114 elementsset A contains 31 elementsset B contains 63 elementssets A and B…

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: Describe a universal set U that includes all elements in the given sets. A = (purple, white, green}…

A:

Q: (BUA)'= Give a 3 element subset of set B.

A: Given : U = 1,2,3,4,5,6,7,8,a,b,cA = 2,4,6,8B = 1,2,3,4,a,bC = 4,8,a,c

Q: Define the given set using rule method or set builder notation: B = { January, February, May, July }

A: Given:                 Set B:=  {January, February, May, July};   To determine:…

Q: U A В

A: Given that a set in shaded region of diagram . We need to identify the appropriate symbols for this…

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

Q: Identify the set shown below as finite or infinite, {10, 11, 12, ..., 40} ..... OInfinite O Finite

A:

Q: Let A = {a,b,c,d,e}, B = {a,b,c,d,e,f,g,h}, and U represents a Universal Set of…

A:

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: Prove that empty set is subset of all sets: φ ⊆ A     Please help me figure this question out.

A:

Q: Which set is the subsets of all given sets {0,1,3, 5, 7} {0} {1}

A:

Q: Let U be the universal set of all the letters in the English alphabet. What is the complement of the…

A:

Q: Prove that the greatest member of a set, if exits, is the least upper bound of the set,

A:

Q: Please prove the statement below: For all sets X, Y, and Z subsets of a universal set U (X -- Y) ∩…

A:

Q: specify the set by roster distinct letters in the word (mathematics)

A: Given that

Q: Let the Universal Set, S, have 101 elements. A and B are subsets of S. Set A contains 59 elements…

A: It is given that,  set A contain 59 elements, n(A) =59 Set B contain 38 elements, n(B) =38 Set A and…

Q: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =         ,  where n is an integer…

A:

Q: Let A and B be infinite sets that are countable. Do A and B necessarily have the same cardinality as…

A: Given question is Let A and B be infinite sets that are countable. Do A and B necessarily have the…

Q: 2. Write the set of positive odd integers in set-builder notation.

A:

Q: Which of the following sets are closed under multiplication?

A: Given: (a) The set of all prime numbers. (b) The set of all even numbers. (c) The set of all…

Q: Determine whether each of the following statements is true or false, and explain why.A set is a…

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

Q: Three sets divide the universal set into at most ___ regions.

A: Consider a universal set U with three subsets A, B and C. The Venn diagram for three overlapping…

Q: rea

A: Let A be set of having n elements, then the total number of subsets of A is 2n. Out of n elements ,…

Q: Use set builder notation to give a description of each of these sets. a) {0, 3, 6, 9, 12} b) {–3,…

A: A set builder form describes the elements of the given set which may have a common aspect/equation

Q: Using the Venn Diagram attached,  Identify the set expression modeled by this Venn Diagram. Then,…

A: