Write the following sets in set-builder notation: (a) {58, 59, 60, · · · } (b) {13, , 14, 15, · · · , 63} (c) {7, 8, 9, 10, 11, 12, 13, 14} (d) Set E is the set of odd natural numbers.

Q: What is set-builder notation?

A: Definition of set-builder notation:

Q: Give 8 example of set and convert that into symbolic form

A: The objective is to write 8 examples of set and convert that into symbolic form.

Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: Vrite the set in set-builder notation and roster or listing method. . The set of odd number from 1…

A: Both the notations are given below

Q: Use set-builder notation to write the following sets. a. The set of integers less than 9 b. The set…

A: In order to represent the elements of a set, there are two forms roster form and set builder form.…

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

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: 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: Use set-builder notation to write the following set. {1, 2, 3, 4, 5,   }

A: Set of natural number is defined as:-  N = 1 , 2 , 3 , 4 , 5 , .............

Q: What is the difference between roster and set builder notation. Explain with examples.

A:

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: Write the following in set builder notation A = {5, 10, 15, 20, 25, 30}

A:

Q: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =

A:

Q: Which concept from set theory is analogous to the disjunction? Union Complement Intersection…

A: Given:     Concept of set theory which is analogs to disjunction.

Q: How many arrangements are there?

A: Solution:

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: What is the other name for the “rule method” in describing a set?  (A) roster (B) defining property…

A:

Q: Write the following in set-builder notation. All positive real numbers.

A:

Q: Give 3 examples of infinite sets in set-builder notation

A: Infinite set :    A set which contain uncountable no. of element is called infinite set.

Q: What can be understood from the term Complement of a Set? Give example.

A:

Q: Use set-builder notation to write the set: Positive integers less than 8

A: Set builder form is of the type {type of element | rule for elements}

Q: Explain and give a simple example that shows that the intersection operation on sets is symmetrical.

A: Answer

Q: Specify the set by roster. {Distinct letters in the word television

A: Given data: {Distinct letters in the word television}   To find: Specify the set by roster.

Q: find the domain and range in set builder notation. 6)

A: topic - Domain and range of a function domain: input values of a function range : output values of a…

Q: VI. Use the set-builder notation to describe each of the following: 16.(4, 8, 12, 16, 20, ...}…

A: Here we have to use the set-builder notation to describe each of the following:  16)…

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: Choose the correct Set-builder form for the following set written in Roster form: {-7, –6, – 5, –4,…

A: We have to find correct option.

Q: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

Q: 5. Write the set {0, 3, 12, 27, 48, 75 ...} in set builder notation

A:

Q: Write the following sets using set -builder form: a. A = {5, 9, 13, 17}

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: Write the set A = {..., -5, -3, -1, 1, 3, 5, 7,...} in Set-builder notation

A:

Q: Explain the difference between set A and set B

A:

Q: The set {......., -4, -3, -2, -1, 0, 1, 2, 3, 4, .....} is called the set of -------------.

A: Numbers are constructed by first starting with 1. Then all numbers which can be written as sum of 1s…

Q: The set of number me between but not including 7 and 8 can be written as follows: in set-builder…

A: The set of numbers between but not including7  and 8 can be written as set ‐builder notation.

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: To prove:X∩Y'∪X∩Y~X The laws to be used are: A∪A∩B=A,A∩A∪B=A A∪B∩C=A∪B∩A∪C A∪A'=S A∩S=A

Q: Write the following sets in Set-Builder Form or Rule form: I) A= {1, 3 5, 7, 9} II) B= {16, 25, 36,…

A:

Q: Write the following sets using set -builder form: а. А%3D {2, 5, 8, 11, 14} b. В% {1,5, 10, 17, 26}…

A: A={2,5,8,11,14} the numbers are natural numbers the numbers in A are increasing by 3 x=first term…

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: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

Q: Write the following sets in two ways.a. The set A containing the natural numbers less than 7.b. The…

A: a. Represent the set A in roster form as shown below: A=1,2,3,4,5,6 Represent the set A in set…

Q: Choose the correct Set-builder form for the following set written in Roster form: {-8, – 7, –6, –5,…

A: We have to find correct roster form.

Q: Write the following set in set builder notation, where U= (1,2,3, ... ,20). (9,10,11,12) Write the…

A: In set builder form ,we write a variable(x) that  represents all the elements of set  followed by 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: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =         ,  where n is an integer…

A:

Q: IV. Using the Rule Method and the Set builder notation to describe each of the following sets whose…

A: 1. The given set is D=Rudy, crocodile, π. Then by rule method it can be written as D=x| x is a name.…

Q: b) Write out, using set notation, the equivalence class for the point (0, 2)

A:

Q: In a class of 50 students, there are 38 students who play soccer and 23 students who play…

A: Given, In a class of 50 students, there are 38 students who play soccer and 23 students who play…

Q: Use the extension of set-builder notation concepts and the roster method to write the given set.   E…

A: Use the extension of set-builder notation concepts and the roster method to write the given set.   E…

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

A:

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”.