1. Let Y = (0, 1, 2) and Z = (0, 1) and define as relation R from A to B as follows:Given any (x, y) e Y x ZX-Y(x, y) eR means thatis an integer.1. State explicitly which ordered pairs are in Y x Z and which are in R.2. Is 1 R 0? Is 2 R 0? Is 2 R 1?3. What are the domain and co-domain of R?2. Define a Relation C from R to R as follows: For any (x, y) e R x R.(х, у) Сmeans thatx2 + y? = 4a) Is (0, 0) € С?b) Is (-1, -1) Е С?c) Is (÷) e C?d) Is – 2 C 1?e) Is 0 C 1?f) Is -1 C -2?3. Let A = (2, 3, 4) and B = (2, 6, 8) and let R be the "divides" relation from A to B:For all (x, у) Ах В.x R y if, and only if, x / y. (x divides y)Draw an arrow Diagram for R.

(NOTE- The relation R should be from Y to Z instead of A to B.) Given sets are, Y=0,1,2 and Z=0,1…

1. Let Y = (0, 1, 2) and Z = (0, 1) and define as relation R from A to B as follows: Given any (x, y) e Y x Z X-Y (x, y) e R means that is an integer. 2 1. State explicitly which ordered pairs are in Y x Z and which are in R. 2. Is 1 R 0? Is 2 R 0? Is 2 R 1? 3. What are the domain and co-domain of R?

1. Let Y = (0, 1, 2) and Z = (0, 1) and define as relation R from A to B as follows: Given any (x, y) e Y x Z X-Y (x, y) e R means that is an integer. 2 1. State explicitly which ordered pairs are in Y x Z and which are in R. 2. Is 1 R 0? Is 2 R 0? Is 2 R 1? 3. What are the domain and co-domain of R?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 2E: 2. In each of the following parts, a relation is defined on the set of all integers. Determine in...

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