Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and {{x}}?   thanks

Q: What can we say about the sets A and B if we know that A∩B=A  ?

A: Given A and B two sets such that A ∩ B = A

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: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that…

A: To prove the formula for the required number of combinations

Q: Give an example to show arbitrary union of open sets is again open. Is the result true for arbitrary…

A:

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

A:

Q: Please help me understand set theory.

A: The set theory is a mathematical theory which includes well-determined collections of…

Q: Let a,b,c,d be real number with a < b < c < d. Express the set [a,b] U [c,d] as the difference of…

A: We have given that, a, b, c, d are real numbers with a &lt; b &lt; c &lt; d. We need to express a, b…

Q: using a combination of the 8 basic rules and 10 equivalence rules. construct rules for the…

A:

Q: what is the counter example for all numbers x,      x + x    >  x

A:

Q: What best describes W = {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}? O Set of even integers O Set…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

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: (1,1),(2,2),(3,3)(4,4),(5,5) relation or function?

A: Given: R=(1, 1), (2, 2), (3, 3), (4, 4), (5, 5) To determine: Given set is a relation or function.

Q: A young adult may be defined as someone older than 21,but less than 30 years of age. Express this…

A: A young adult may be defined as someone older than 21, but less than 30 years of age.

Q: What is the domination set , know it and give it examples

A:

Q: Use an algebraic proof to show that for all sets X ,Y and Z : (X – Y)n ZC = x – (Y u Z) Do not…

A:

Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: Denote the set using the listing method {x| x is reciprocal of a positive odd number

A: The set of positive odd numbers are as follows: 1,3,5,7,9,11,13,15,17,19,21,23,……… Given a real…

Q: you were introduced to the set operations of "union", "intersection" and "complement." Do you see a…

A: To explain the similariites between the opreations in set theory , logic and electronic circuits

Q: 6 All open sets are bounded.

A: Some times true

Q: Kim is a female business student.  The categories of gender and major are not mutually exclusive in…

A: The events are mutually exclusive if the occurrences of both events cannot occur same time.

Q: Hello I am having trouble understanding Set Theory and Subsets.

A: Set theory is dealing with objects that are related to the mathematics and it is also a branch of…

Q: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: Roster method is defined as a way to show the elements of a set by listing the elements inside the…

Q: Explain what is an infinite set. Give relevant example along with.

A:

Q: Determine which pairs of actions are commutative.  “taking a test” and “studying for the test”

A: To determine Which pairs of actions are commutative.   “taking a test” and “studying for the test”

Q: How do you identify sets

A: The objective is to write how to identify sets.

Q: What is the domain of the set g= {(2, 1), (3, 5), (4, 7), (5, 9)}

A: GIVEN-  set g is given g={ (2, 1) , (3, 5), (4, 7), (5, 9) }  TO FIND -  DOMAIN OF set g  CONCEPT-…

Q: (c) Find (A - B) - C and A (B - C). (Enter your answer in set-roster notation.) (А - в) — с : А - (В…

A:

Q: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: A whole number is a number that does not contain a decimal. In addition to this, it does not contain…

Q: Describe the set as a union of finite or infinite intervals. {x : |x − 4| &gt; 2}

A: can be written as x-4&gt;2 or x-4&lt;-2

Q: Express (4, 10) as a set {x : |x − a| &lt; c} for suitable a and c

A: Write the given interval in inequality form as follows: 4&lt;x&lt;10

Q: Lashonda is a veterinarian at an animal clinic. She chose to study 13 cats and 13 dogs out of the 55…

A: as given, according to data  lashonda chose to study 13 cats and 13 dogs out of 55 animals at the…

Q: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: To write out the elements of the given set from the (word) description

Q: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that…

A: (a) For n = 2, the equality is

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: a. If Set X = {x| xeZ and x is your phone number } %3D and Set Y = {x]x is the letters of your birth…

A: Set X=x:x∈Z and x is your phone number and Y=x:x is the latters of your birth place. Then we have to…

Q: Which set represents the same relation as the gra 4 2- 6-5-4-3-2-1. 1 2 3 4 56 2. -3. 寸 LO CO ....…

A: Given graph is

Q: Use the set theory definition of addition to show that 1 + 4 = 5. You may do the work on paper then…

A:

Q: Explain whether the following sets are closed under addition. F={5,6,7,8,9,10,…}

A: We Know that A set is closed under addition if the sum of any two members of the set is also in the…

Q: What is the difference between a subset and a proper subset? List the subsets and proper subsets of…

A:

Q: 4) Listen What can we say about the sets A and Bif we know that ANB= A ? (you may use words or…

A:

Q: Write the set using interval notation : {x |x < 2 and x + +1} (hint : graph the set on a number…

A:

Q: Show solution for proof of validity using rules of inference and rules of equivalence

A:

Q: The defining property of an ordered pair is that two or- dered pairs are equal if and only if their…

A: Firstly suppose that a,b=c,d i.e a,a,b=c,c,d. We have to show that a=c &amp; b=d. There will be two…

Q: What is the cardinality of this set? (x| x^2= 16, 5x = 10}.

A:

Q: which method is best to describe an infinite set?

A: The solution is given below

Q: 0), (1, 0, 0). (3, 2, adependent set

A:

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

A:

Q: How do we denote the empty or null set?

A: A set is said to be an empty set or a null set if there is no element in it.

Q: Statements showing a relationship between numbers that are not necessarily equal using the symbols…

A: Given: Statements showing a relationship between numbers that are not necessarily equal using the…

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”.