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) eR means that is an integer. 1. State explicitly which ordered pairs are in Y x...

Extracted text: 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) eR means that is 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) С means that x2 + y? = 4 a) 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.