The equivalence class of -2 for the relation congruence modulo 5 isО (... - 11, -6, —1,4, 9, 14, ...}O {...,-12, –7,–2,3,8, 13,...}о (..., - 10, —5, —1,3, 8, 13, ...}|O none of the choicesо (... - 12, -7, -2,5, 8, 13, ...}

The equivalence class of -2 for the relation congruence modulo 5 is о (... -11, -6, —1,4, 9, 14, ...} о (... - 12, -7, —2,3,8, 13,...} о (.. - 10, —5, —1,3, 8, 13,...} O none of the choices о (.., - 12, —7, —2,5, 8, 13, ...}

The equivalence class of -2 for the relation congruence modulo 5 is о (... -11, -6, —1,4, 9, 14, ...} о (... - 12, -7, —2,3,8, 13,...} о (.. - 10, —5, —1,3, 8, 13,...} O none of the choices о (.., - 12, —7, —2,5, 8, 13, ...}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 6. Let S be a set and suppose is a relation on S. For each of the following, provide a…

A: Let us solve the given problems on relation in the next steps.

Q: the set {a, b, c, d} that is (a) [BB] reflexive and symmetric (b) not symmetric and not…

Q: 2. Consider the relation p- on natural numbers relating numbers that nave tne same number of prime…

Q: Let A be a nonempty set and let ~ be an equivalence relation on A. Prove each of the following: (a)…

A: 11. Let A be a nonempty set and ~be an equivalence relation on A. (b) We know that for each a, b∈A…

Q: Is the relation of “mapping” between two sets used to determine cardinality - and not used to…

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

Q: [2, 5]U[3, 7] [2,7]

A: Let A=[2,5]and B=[3,7]and we have to prove that AUB=[2,7]

Q: he equivalence class of 3 for the relation congruence modulo 7 is given by O [7], =…

A: The congruence class of 3 for the relation : congruence modulo 7 is given by,

Q: How do you find the equivalence class of 7 for mRn where R is a relation on the set of integers iff…

Q: (b) Let R be the equivalence relation on the set S = {1,3, 5, 7, ..., 49} defined by x Ry if and…

Q: A 1 2 3 O A. Congruent B. Supplementary C. Complementray O D. Equal B.

Q: The congruence modulo 5 relation is an equivalence relation on the set {0, 1, 2, 3, 4, 5, 6, 7,8,9,…

Q: (a) How many elements are there in S/ ~ ? Equivalently, how man equivalence classes are there in S?…

A: This is a question of relation.

Q: Let the relation - on the natural numbers N be defined as follows: if n is even, then n ~ n + 1; if…

Q: A relation ''<'' is 1) İrreflexive. 2) Transitive. called a quasi-order on a set S if its: صواب ihi

A: We know that

Q: 2. Suppose A = {1, 2, 3, 4, .. , 14, 15} and let R be the relation of congruence modulo 5 on the set…

Q: tiv Consider the relation defined on Z by m~n if and only if m+n is eve (a) Show that ~ is an…

A: Consider the relation ~ defined on Z by m~n if and only if m+n is even. Now, To show Relation ~ is…

Q: The relation by a = b (modn) is Partial Order Relation Ture O False O

Q: 2. Find two verbs or nouns each that are: (a) reflexive (b) transitive (c) symmetric

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: Show that the following is an equivalence relation: R = {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (3,…

A: Equivalence relations are a fundamental concept in mathematics that allow us to group elements of a…

Q: If A has 4 elements and B has 4elements, then the number of possible relations from A to B is O 24.…

A: Given Data- A and B have each 4 elements. We have to find the number of possible relations from A…

Q: Equivalence relations "are" partitions. Let S be a set, and RC S × S be an equivalence relation on…

Q: 1.What is Relation?…

Q: The equivalence class of -1 for the relation congruence modulo 5 is о (.., -12, —7, —2,3, 8, 13, ..}…

A: The equivalence class of -1 is denoted as -1 and defined as -1=x mod 5; where x∈R. For example: take…

Q: Let P be the set of all positive factors of 90, and let / denote the 'divides' relation. Then the…

Q: The relation R on the set A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) is defined by R= {(x,y) E AXA: xmod…

Q: A = {x € Z: xis even} {91'SI'ZI'6'S'E} = 5 23242+3 2184 21+ 122198 th

A: Given, To find the value of

Q: count the number of possible equivalence relations on a set of size n by providing a formula in…

A: We use the idea of partitioning to get the total number of equivalence relations.

Q: Consider the set Z of integers and the equivalence relation ~ definel. 2 by a. Ure set- builden…

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, m Enm-n is even. Is this an…

A: Equivalence relation

Q: The equivalence class of -1 for the relation congruence modulo 5 is O {...,-12, –7, –2, 3,8, 13,…

Q: Let R be the relation of congruence modulo 5. Which of the following equivalence classes are equal?…

Q: Prove that the relation ∼ between sets is symmetric and transitive.

Q: Find the Car D={a, b, c, d, ..., z), n(D)=? U=universal set n(U')=? B={p people in the USA | p is a…

Q: The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence…

A: The objective of the question is to understand how the equivalence classes for the given equivalence…

Q: 3. Which of the following best characterizes the statements A) The relation "divides" on the set of…

Q: defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R =…

A: A relation R on a set X is a subset of X×X. That is R⊆X×X. (b). Let ≡6 and ≡10 are two subset on the…

Q: The partitions of the equivalence relation congruence modulo 4 is given by [0], [11, O [4],[4],[4],…

A: Here we have to find the partitions of the equivalence relation congruence modulo 4.

Q: 3) Arithmetical subtraction (-) is binary relation on * O Q Z+ Z- ON

Q: 7. A binary relation * is defined by the following truth table y x * y F F T T T Which of the…

A: We can make a truth table by considering the options and find which is not equivalent.

Q: 3.3: Is brotherOf an equivalence relation on the set of all people?? How about siblingof?, same…

Q: tence or two what is wrong with the follo Let~ be a relation on a set S. If ~is reflexive. ~ is…

Question

The equivalence class of -2 for the relation congruence modulo 5 is
О (... - 11, -6, —1,4, 9, 14, ...}
O {...,-12, –7,–2,3,8, 13,...}
о (..., - 10, —5, —1,3, 8, 13, ...}
|
O none of the choices
о (... - 12, -7, -2,5, 8, 13, ...}

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

The congruence class of [6], is {...-9,4,1,6, – 11...} {...-9,-4,–1,6,11...} {...-9,-4,1,6,11...} {...-9,-4,1,5,11..}
I) We know that {-5,-4,-3,-2,-14 and N are well-ordered sets with respect to the trivial ordering. Let X= 2-5,-4 -3,-2,-1 UN. Prove that the poset X is a well- set with respect to the trivical ordering. ordered
b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W, X, Y and Z. We define the relation: A Sesotho word x is related to another Sesotho word y if x begins with the same letter as y. Determine whether or not this is an equivalence relation. If it is an equivalence relation then 1. Compute C(sekatana) 2. How many equivalence classes are there in all, and why? 3. What is the partition of the English words under this relation? If it is NOT an equivalence relation then explain in details why it is not.
Same question just split into two pictures.
O Find the solution of recuxkence relation -39n-2- 9. =-39. n-3 9=1,9=-2 O Find the solution of reccurrene relation an= 119-399, +454 1-4 0=5,9=11 z=25
Prove that by laws of set, (A – B) – (B - C) = A – B 2. 3. (a) Simplify by using laws of logic (p → q) V¬(a ^¬p) (b) Also check your answer by drawing truth table for (a) Find the relation R on the set A = { 3,4,1) such that R = {(x,y)/ x + y < 7} and show the 4. relation R using graph and matrix representation. Also check is R reflexive, symmetric and transitive?
3.) consider a category. N having only one object, let's call it *, and with one that the composition of two arrows m and n is given by addition corresponds to id* : * → * ? Check that the 3 axioms of composition are satisfied . that is, mon arrow : * * for every natural number. Moreover, suppose =m+n. what is the natural number in that
b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W, X, Y and Z. We define the relation: A Sesotho word x is related to another Sesotho word y if x begins with the same letter as y. Determine whether or not this is an equivalence relation. If it is an equivalence relation then 1. Compute C(sekatana) 2. How many equivalence classes are there in all, and why? 3. What is the partition of the English words under this relation? If it is NOT an equivalence relation then explain in details why it is not.
Let N be the set of all natural numbers and let Q={4,9,14,19,24,...}. Find the formula for one-to-one correspondence between N and Q.
i. Determine whether (~p^(p→q)→~q)is a tautology. ii. Define Cartesian product. iii. List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a, b) E R if and only if gcd (a,b) =1 iv. How many relations are there on the set {a,b,c,d} Are the following relations on {0, 1, 2, 3} are equivalence relations or v. partial ordered relation? Explain? {(0, 0), (1, 1), (2, 2), (3, 3)}