Let A = {a, b, c, d, e, f}, and let G and H be the following equivalence%3|relations in A:G = IAU{(a,b), (b, a) , (b, c) , (c, b) , (a, c) , (c, a) , (d, e), (e, d)} ,H = IAU{(b, c) , (c, b)} .%3DClearly, H is a refinement of G. Exhibit the sets A/G, A/H, G/H,(A/H)/(G/H).

Answered: Image /qna-images/answer/110d7324-f9e8-4116-aa3c-5d2d59a2c261.jpg

Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U {(a, b) , (b, a) , (b, c) , (c, b) , (a, c) , (c, a) , (d, e) , (e, d)} , H = IAU {(b, c) , (c, b)} . Clearly, H is a refinement of G. Exhibit the sets A/G, A/H, G/H, (A/H)/(G/H).

Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U {(a, b) , (b, a) , (b, c) , (c, b) , (a, c) , (c, a) , (d, e) , (e, d)} , H = IAU {(b, c) , (c, b)} . Clearly, H is a refinement of G. Exhibit the sets A/G, A/H, G/H, (A/H)/(G/H).

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter1: Line And Angle Relationships

Section1.6: Relationships: Perpendicular Lines

Problem 18E: Does the relation is in love with have a reflexive property consider one person? a symmetric...

See similar textbooks

Similar questions

Does the relation is in love with have a reflexive property consider one person? a symmetric property consider two people? a transitive property consider three people?
Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.
Determine whether the relation R on A is an equivalence relation and provide your reasoning: а. А%3D (а, b, с, d} ; R%3D{(a, a), (b, a), (b, b), (с, с), (d, d), (d, c)} b. А%3D{1, 2, 3, 4} ; R%3{(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 1), (3, 3), (1, 3), (1, 4), (4, 1), (4, 4)}
Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?
Let A = {1,2,3, 4} and B = {a,b, c, d, e}. How many different relations are there from A to B. Why?
Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether FUNCTION or NOT FUNCTION. a) R = {(1,C), (2, A), (3, D), (2, B), (4, E)} b) R = {(1,A), (2, A), (3, D), (4, E)}
b) If X = \{a,b,c\}X={a,b,c}, give the equivalence classes of the relation.
Decide whether each of the following relations is an equivalence relation or not. {(a, b) | gpa of a is greater than gpa of b, a and b are students at university}
Let A = {1, 2, 3}, B={a, b, c}, and C = {6, 8}. Let R = {(1, a), (2, c), (3, b)} be a relation from A to B and let S = {(a, 6), (a, 8), (b, 8), (c, 8)} be a relation from B to C. Find the composition relation R - S from A to C.
Let A={a,b,c,d} and let R={(a,b)(b,c)(c,d)(d,b)} be a relation on A. Represent the relation using matrix
A group of 4 students namely Maiyra, Bansan, Kate and Davis from final semester in Computer Sciences Department have to choose from 3 majors namely, DIP, Computer Vision and Pattern Recognition offered by the Department. i. Specify relation RCAXB as the set that lists all students a e A enrolled in class of that major be B ii. Determine the Diagraph and Matrix Representation for the given relation R: R=(Mayra, DIP),(Bansan, Computer Vision).(Bansan, Patten Recognition),(Davis, Computer Vision),(Davis, DIP))
Help me fast