d) Determine the total number of equivalence classes.

Q: What is set-builder notation?

A: Definition of set-builder notation:

Q: Every equivalence relation is reflexive. True False

A: A relation is said to be an equivalence relation if and only if the relation R is reflexive,…

Q: 6) Define the cardinality definition of addition.

A:

Q: (d) Give the equivalence relation on {a, b, c, d, e} whose equivalence classes give the partition P…

A: Please note that we are allowed to answer only the first question so repost the other one.

Q: Is (R,#) a poset? If it is a poset, is it a total order? (R is the set of all real numbers)

A:

Q: How many equivalence relations on the set {1, 2, 3}?

A: Given A=1,2,3 we know that a relation is said to be equivalence relation if it is reflexive,…

Q: A large corporation classifies its many divisions by their performance in the preceding year. Let P…

A:

Q: class bounda

A: Here  given grouped frequency distribution lower class boundary =  lower class limit - 0.5 upper…

Q: How many equivalence relations on A=|42| are there that have distinct equivalence classes of size 4,…

A: Given A=|42| and distinct equivalence classes of sizes 4, 7,7, 8,8, and 8.

Q: A combination is a selectio objects from а. n objects

A: Combination is a technique which represents the number of possible outcomes from n objects

Q: is equivalence and find the equivale [b, b), (c,c) }, A = {a,b,c}

A:

Q: 4. What are the operation of sets and its set builder notation.

A: Explanation of the answer is as follows

Q: {(a, b) acb, a and b are finite set of integers}

A:

Q: 26. Let I be the set of all infinite sets. Is I an element of itself?

A: Given I is the set of all infinite sets.  We check whether I is an element of itself.

Q: Match the pairs of strings of English letters on the left with the equivalence relation on the right…

A:

Q: Find the smallest equivalence relation (namely an equivalence relation with the fewest number of…

A: Find the smallest equivalence relation such that { (a,b), (a,c), (a,d), (d,e) } is a subset of…

Q: 5. Give an example (by words) for a collection of objects which is not well defined

A: Given, We have to write an example for a collection of objects which is not well defined.

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: Using induction, prove that a set with n elements has 2" subsets.

A: Let P(n) be the given statements. i.e., P(n): Any set with n elements has 2n subsets.Since any set…

Q: The family of all finite subsets of a countable sets is countable.

A: Countability

Q: a) How many symmetric relations on an n-element set are there? b) How many ways are there to choose…

A:

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

A:

Q: Prove: The Cartesian product of countable sets is countable.

A:

Q: a) Prove that the set { 1} is an adequate set of connectives. b) As a result of a) above or…

A: Given: The statement form is ¬P→Q∧¬R

Q: Suppose A is a set having n elements. a. How many relations are there on 4? b. How many reflexive…

A:

Q: (a) Show that R is an equivalence relation. (b) List three members of each of the equivalence…

A: Equivalence relation: A relation R is called an equivalence relation in a set A, if it follows the…

Q: Give an example of a set of numbers that is: a. Closed under both addition and multiplication. b.…

A: a. Set of real numbers b. Set of odd natural  numbers c. Set of irrational numbers

Q: Proving a divisibility relation is transitive

A:

Q: Fill in the blank so that the resulting statement is true. The number of distinct proper subsets of…

A: To fill in the blankThe number of distinct proper subsets of a set with n elements is ____

Q: Let R be a total relation on a set of 15 elements. Then the number of ordered pairs in R is equal…

A:

Q: 1) Use any method(descriptive, roster method and set builder notation) to give three examples of…

A: 1) A=Set of water droplets B=Set of stars in the midnight sky. C=Set of cells in human body

Q: 5. Show that a finite union of countable sets is countable.

A: The answer is given as follows :

Q: How many equivalence relations on the set {1, 2, 3}? 1. О З 2. O 6 3. О 5 4. O 4

A: The objective is to find the total equivalence relation on set {1,2,3}.

Q: 37. Let the universal set U = {x | x is a non-negative integer}. Let A = {x EU | x is divisible by…

A:

Q: Use Venn diagrams to verify the distributive laws.

A: Solution

Q: There are as many equivalence classes as there are which of the following? (Select all that apply.)

A: There are many equivalence classes.

Q: The number of equivalence relations on the set {1, 2, 3, 4} is

A: A relation defined on a non empty set S is called an equivalence relation if it is reflexive ,…

Q: What is the relationship between the cla

A: Regular Set is the set that represents the value of regular expression. The relationship between the…

Q: Give an example of a set of numbers that is: a.Closed under both addition and multiplication.…

A: (a) Set X is closed under addition if any two elements x, y in X such that x + y in X  Set X is…

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

A: topic- sets

Q: 11. Use set-builder notation to represent X, the set of all whole numbers greater than 20. X-(x/x is…

A: The set builder notation of the set of all whole numbers greater than 20 is,

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

A:

Q: What is the correct answer to "There are as many equivalence classes as there are which of the…

A: There are many equivalence classes.

Q: 2) Let A be the set of all integers. Suppose that xRy + x and y have the same reminder when divided…

A:

Q: Derive the following rules from the Logical Equivalence Rules. 1 Absorption Laws 2 Material…

A: This is a problem of logic.

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

A:

Q: b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W, X, Y and Z. We…

A:

Q: What is the possible number of reflexive relations on a set of 5 elements?

A: Introduction : We have give a set of 5 elements , we have asked for the number of reflexive…