Answer to Question #276426 in Discrete Mathematics for Ditther Gacula

Question

A. Try these! 1. Find a relation R such that 𝑥+𝑦 2 >1 if A = {0,1, 2} and B ={0, 1, 2, 3}. 2. Find a relation R such that y is a power of x if A = {1, 2, 3} and B = {1, 4, 5, 9} 

Answer 1

1.

$R=\{(x+y)/2>1|x\isin A,y\isin B\}$

$R=\{(0,3),(1,2),(1,3),(2,1),(2,2),(2,3)\}$

2.

$R=\{y=x^n|x\isin A,y\isin B\}$

$R=\{(1,1),(2,4),(3,9)\}$