Let A = {0,1,2} and B = {-2,-1,0}. Define a relation C from A to B as follows: For any (x,y) A x B, (x,y) C meaning that x2 + y2 = 1. a. Is (1,0) C? Is (0,0) C? Is 0 R -2? Is 0 R (-1)? b. What are the domain and the co-domain of C?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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Let A = {0,1,2} and B = {-2,-1,0}. Define a relation C from A to B as follows: For any (x,y) A x B, (x,y) C meaning that x2 + y2 = 1. a. Is (1,0) C? Is (0,0) C? Is 0 R -2? Is 0 R (-1)? b. What are the domain and the co-domain of C?
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